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Finding the Fourth Proportional to 16,524.72, 22,798.53 and 9,446.10

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Solution

The fourth proportional to 16,524.72, 22,798.53 and 9,446.10 is: 13,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.72 : 22,798.53 = 9,446.10 : x
  2. Step 2: Convert to fraction form
    16,524.72/22,798.53 = 9,446.10/x
  3. Step 3: Cross multiply
    16,524.72x = 22,798.53 × 9,446.10
  4. Step 4: Simplify right side
    16,524.72x = 215,357,194.23
  5. Step 5: Solve for x
    x = 215,357,194.23/16,524.72
  6. Step 6: Final answer
    x = 13,032.43

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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.