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Finding the Fourth Proportional to 22,977.34, 31,706.49 and 12,903.49

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Solution

The fourth proportional to 22,977.34, 31,706.49 and 12,903.49 is: 17,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.34 : 31,706.49 = 12,903.49 : x
  2. Step 2: Convert to fraction form
    22,977.34/31,706.49 = 12,903.49/x
  3. Step 3: Cross multiply
    22,977.34x = 31,706.49 × 12,903.49
  4. Step 4: Simplify right side
    22,977.34x = 409,124,376.65
  5. Step 5: Solve for x
    x = 409,124,376.65/22,977.34
  6. Step 6: Final answer
    x = 17,805.56

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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.