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Finding the Fourth Proportional to 22,983.03, 31,711.03 and 13,417.49

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Solution

The fourth proportional to 22,983.03, 31,711.03 and 13,417.49 is: 18,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.03 : 31,711.03 = 13,417.49 : x
  2. Step 2: Convert to fraction form
    22,983.03/31,711.03 = 13,417.49/x
  3. Step 3: Cross multiply
    22,983.03x = 31,711.03 × 13,417.49
  4. Step 4: Simplify right side
    22,983.03x = 425,482,473.65
  5. Step 5: Solve for x
    x = 425,482,473.65/22,983.03
  6. Step 6: Final answer
    x = 18,512.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.