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Finding the Fourth Proportional to 13,832.92, 19,089.12 and 7,545.52

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Solution

The fourth proportional to 13,832.92, 19,089.12 and 7,545.52 is: 10,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.92 : 19,089.12 = 7,545.52 : x
  2. Step 2: Convert to fraction form
    13,832.92/19,089.12 = 7,545.52/x
  3. Step 3: Cross multiply
    13,832.92x = 19,089.12 × 7,545.52
  4. Step 4: Simplify right side
    13,832.92x = 144,037,336.74
  5. Step 5: Solve for x
    x = 144,037,336.74/13,832.92
  6. Step 6: Final answer
    x = 10,412.65

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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.