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Finding the Fourth Proportional to 13,833.26, 19,089.78 and 7,545.50

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Solution

The fourth proportional to 13,833.26, 19,089.78 and 7,545.50 is: 10,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.26 : 19,089.78 = 7,545.50 : x
  2. Step 2: Convert to fraction form
    13,833.26/19,089.78 = 7,545.50/x
  3. Step 3: Cross multiply
    13,833.26x = 19,089.78 × 7,545.50
  4. Step 4: Simplify right side
    13,833.26x = 144,041,934.99
  5. Step 5: Solve for x
    x = 144,041,934.99/13,833.26
  6. Step 6: Final answer
    x = 10,412.73

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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.