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Finding the Fourth Proportional to 15,509.76, 23,257.65 and 4,413.78

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Solution

The fourth proportional to 15,509.76, 23,257.65 and 4,413.78 is: 6,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.76 : 23,257.65 = 4,413.78 : x
  2. Step 2: Convert to fraction form
    15,509.76/23,257.65 = 4,413.78/x
  3. Step 3: Cross multiply
    15,509.76x = 23,257.65 × 4,413.78
  4. Step 4: Simplify right side
    15,509.76x = 102,654,150.42
  5. Step 5: Solve for x
    x = 102,654,150.42/15,509.76
  6. Step 6: Final answer
    x = 6,618.68

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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.