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Finding the Fourth Proportional to 22,524.05, 31,085.10 and 13,092

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Solution

The fourth proportional to 22,524.05, 31,085.10 and 13,092 is: 18,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.05 : 31,085.10 = 13,092 : x
  2. Step 2: Convert to fraction form
    22,524.05/31,085.10 = 13,092/x
  3. Step 3: Cross multiply
    22,524.05x = 31,085.10 × 13,092
  4. Step 4: Simplify right side
    22,524.05x = 406,966,129.20
  5. Step 5: Solve for x
    x = 406,966,129.20/22,524.05
  6. Step 6: Final answer
    x = 18,068.07

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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.