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Finding the Fourth Proportional to 22,532.73, 31,088.80 and 13,457.02

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Solution

The fourth proportional to 22,532.73, 31,088.80 and 13,457.02 is: 18,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.73 : 31,088.80 = 13,457.02 : x
  2. Step 2: Convert to fraction form
    22,532.73/31,088.80 = 13,457.02/x
  3. Step 3: Cross multiply
    22,532.73x = 31,088.80 × 13,457.02
  4. Step 4: Simplify right side
    22,532.73x = 418,362,603.38
  5. Step 5: Solve for x
    x = 418,362,603.38/22,532.73
  6. Step 6: Final answer
    x = 18,566.88

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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.