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Finding the Fourth Proportional to 16,513.14, 22,787.95 and 9,342.93

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Solution

The fourth proportional to 16,513.14, 22,787.95 and 9,342.93 is: 12,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.14 : 22,787.95 = 9,342.93 : x
  2. Step 2: Convert to fraction form
    16,513.14/22,787.95 = 9,342.93/x
  3. Step 3: Cross multiply
    16,513.14x = 22,787.95 × 9,342.93
  4. Step 4: Simplify right side
    16,513.14x = 212,906,221.69
  5. Step 5: Solve for x
    x = 212,906,221.69/16,513.14
  6. Step 6: Final answer
    x = 12,893.14

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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.