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Finding the Fourth Proportional to 22,605.47, 31,194.02 and 13,045.76

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Solution

The fourth proportional to 22,605.47, 31,194.02 and 13,045.76 is: 18,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.47 : 31,194.02 = 13,045.76 : x
  2. Step 2: Convert to fraction form
    22,605.47/31,194.02 = 13,045.76/x
  3. Step 3: Cross multiply
    22,605.47x = 31,194.02 × 13,045.76
  4. Step 4: Simplify right side
    22,605.47x = 406,949,575.00
  5. Step 5: Solve for x
    x = 406,949,575.00/22,605.47
  6. Step 6: Final answer
    x = 18,002.26

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