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Finding the Fourth Proportional to 16,507.58, 22,778.05 and 9,432.63

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Solution

The fourth proportional to 16,507.58, 22,778.05 and 9,432.63 is: 13,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.58 : 22,778.05 = 9,432.63 : x
  2. Step 2: Convert to fraction form
    16,507.58/22,778.05 = 9,432.63/x
  3. Step 3: Cross multiply
    16,507.58x = 22,778.05 × 9,432.63
  4. Step 4: Simplify right side
    16,507.58x = 214,856,974.72
  5. Step 5: Solve for x
    x = 214,856,974.72/16,507.58
  6. Step 6: Final answer
    x = 13,015.66

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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.