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Finding the Fourth Proportional to 16,535.61, 22,819.55 and 9,464.31

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Solution

The fourth proportional to 16,535.61, 22,819.55 and 9,464.31 is: 13,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.61 : 22,819.55 = 9,464.31 : x
  2. Step 2: Convert to fraction form
    16,535.61/22,819.55 = 9,464.31/x
  3. Step 3: Cross multiply
    16,535.61x = 22,819.55 × 9,464.31
  4. Step 4: Simplify right side
    16,535.61x = 215,971,247.94
  5. Step 5: Solve for x
    x = 215,971,247.94/16,535.61
  6. Step 6: Final answer
    x = 13,060.98

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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.