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Finding the Fourth Proportional to 22,966.72, 31,693.03 and 12,894.98

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Solution

The fourth proportional to 22,966.72, 31,693.03 and 12,894.98 is: 17,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.72 : 31,693.03 = 12,894.98 : x
  2. Step 2: Convert to fraction form
    22,966.72/31,693.03 = 12,894.98/x
  3. Step 3: Cross multiply
    22,966.72x = 31,693.03 × 12,894.98
  4. Step 4: Simplify right side
    22,966.72x = 408,680,987.99
  5. Step 5: Solve for x
    x = 408,680,987.99/22,966.72
  6. Step 6: Final answer
    x = 17,794.49

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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.