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Finding the Fourth Proportional to 15,413.52, 23,158.32 and 9,869.28

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Solution

The fourth proportional to 15,413.52, 23,158.32 and 9,869.28 is: 14,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.52 : 23,158.32 = 9,869.28 : x
  2. Step 2: Convert to fraction form
    15,413.52/23,158.32 = 9,869.28/x
  3. Step 3: Cross multiply
    15,413.52x = 23,158.32 × 9,869.28
  4. Step 4: Simplify right side
    15,413.52x = 228,555,944.41
  5. Step 5: Solve for x
    x = 228,555,944.41/15,413.52
  6. Step 6: Final answer
    x = 14,828.28

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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.