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Finding the Fourth Proportional to 13,833.28, 19,089.89 and 7,545.66

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Solution

The fourth proportional to 13,833.28, 19,089.89 and 7,545.66 is: 10,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.28 : 19,089.89 = 7,545.66 : x
  2. Step 2: Convert to fraction form
    13,833.28/19,089.89 = 7,545.66/x
  3. Step 3: Cross multiply
    13,833.28x = 19,089.89 × 7,545.66
  4. Step 4: Simplify right side
    13,833.28x = 144,045,819.38
  5. Step 5: Solve for x
    x = 144,045,819.38/13,833.28
  6. Step 6: Final answer
    x = 10,412.99

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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.