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Finding the Fourth Proportional to 22,882.88, 31,553.88 and 14,368.16

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Solution

The fourth proportional to 22,882.88, 31,553.88 and 14,368.16 is: 19,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.88 : 31,553.88 = 14,368.16 : x
  2. Step 2: Convert to fraction form
    22,882.88/31,553.88 = 14,368.16/x
  3. Step 3: Cross multiply
    22,882.88x = 31,553.88 × 14,368.16
  4. Step 4: Simplify right side
    22,882.88x = 453,371,196.46
  5. Step 5: Solve for x
    x = 453,371,196.46/22,882.88
  6. Step 6: Final answer
    x = 19,812.68

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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.