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Finding the Fourth Proportional to 28,332.48, 42,498.24 and 9,864

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Solution

The fourth proportional to 28,332.48, 42,498.24 and 9,864 is: 14,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,332.48 : 42,498.24 = 9,864 : x
  2. Step 2: Convert to fraction form
    28,332.48/42,498.24 = 9,864/x
  3. Step 3: Cross multiply
    28,332.48x = 42,498.24 × 9,864
  4. Step 4: Simplify right side
    28,332.48x = 419,202,639.36
  5. Step 5: Solve for x
    x = 419,202,639.36/28,332.48
  6. Step 6: Final answer
    x = 14,795.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.