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Finding the Fourth Proportional to 24,354.66, 36,532.60 and 6,825.86

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Solution

The fourth proportional to 24,354.66, 36,532.60 and 6,825.86 is: 10,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354.66 : 36,532.60 = 6,825.86 : x
  2. Step 2: Convert to fraction form
    24,354.66/36,532.60 = 6,825.86/x
  3. Step 3: Cross multiply
    24,354.66x = 36,532.60 × 6,825.86
  4. Step 4: Simplify right side
    24,354.66x = 249,366,413.04
  5. Step 5: Solve for x
    x = 249,366,413.04/24,354.66
  6. Step 6: Final answer
    x = 10,238.96

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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.