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Finding the Fourth Proportional to 16,691.12, 23,032.85 and 9,135.98

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Solution

The fourth proportional to 16,691.12, 23,032.85 and 9,135.98 is: 12,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.12 : 23,032.85 = 9,135.98 : x
  2. Step 2: Convert to fraction form
    16,691.12/23,032.85 = 9,135.98/x
  3. Step 3: Cross multiply
    16,691.12x = 23,032.85 × 9,135.98
  4. Step 4: Simplify right side
    16,691.12x = 210,427,656.94
  5. Step 5: Solve for x
    x = 210,427,656.94/16,691.12
  6. Step 6: Final answer
    x = 12,607.16

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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.