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Finding the Fourth Proportional to 16,737.13, 23,097.27 and 9,184.11

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Solution

The fourth proportional to 16,737.13, 23,097.27 and 9,184.11 is: 12,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.13 : 23,097.27 = 9,184.11 : x
  2. Step 2: Convert to fraction form
    16,737.13/23,097.27 = 9,184.11/x
  3. Step 3: Cross multiply
    16,737.13x = 23,097.27 × 9,184.11
  4. Step 4: Simplify right side
    16,737.13x = 212,127,868.38
  5. Step 5: Solve for x
    x = 212,127,868.38/16,737.13
  6. Step 6: Final answer
    x = 12,674.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.