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Finding the Fourth Proportional to 24,098.96, 36,148.44 and 6,568.40

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Solution

The fourth proportional to 24,098.96, 36,148.44 and 6,568.40 is: 9,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.96 : 36,148.44 = 6,568.40 : x
  2. Step 2: Convert to fraction form
    24,098.96/36,148.44 = 6,568.40/x
  3. Step 3: Cross multiply
    24,098.96x = 36,148.44 × 6,568.40
  4. Step 4: Simplify right side
    24,098.96x = 237,437,413.30
  5. Step 5: Solve for x
    x = 237,437,413.30/24,098.96
  6. Step 6: Final answer
    x = 9,852.60

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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.