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Finding the Fourth Proportional to 22,473, 31,018.32 and 13,047.12

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Solution

The fourth proportional to 22,473, 31,018.32 and 13,047.12 is: 18,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473 : 31,018.32 = 13,047.12 : x
  2. Step 2: Convert to fraction form
    22,473/31,018.32 = 13,047.12/x
  3. Step 3: Cross multiply
    22,473x = 31,018.32 × 13,047.12
  4. Step 4: Simplify right side
    22,473x = 404,699,743.24
  5. Step 5: Solve for x
    x = 404,699,743.24/22,473
  6. Step 6: Final answer
    x = 18,008.27

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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.