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Finding the Fourth Proportional to 16,486.47, 22,755.42 and 9,417.02

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Solution

The fourth proportional to 16,486.47, 22,755.42 and 9,417.02 is: 12,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.47 : 22,755.42 = 9,417.02 : x
  2. Step 2: Convert to fraction form
    16,486.47/22,755.42 = 9,417.02/x
  3. Step 3: Cross multiply
    16,486.47x = 22,755.42 × 9,417.02
  4. Step 4: Simplify right side
    16,486.47x = 214,288,131.47
  5. Step 5: Solve for x
    x = 214,288,131.47/16,486.47
  6. Step 6: Final answer
    x = 12,997.82

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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.