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Finding the Fourth Proportional to 24,275.71, 36,413.53 and 7,637.19

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Solution

The fourth proportional to 24,275.71, 36,413.53 and 7,637.19 is: 11,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.71 : 36,413.53 = 7,637.19 : x
  2. Step 2: Convert to fraction form
    24,275.71/36,413.53 = 7,637.19/x
  3. Step 3: Cross multiply
    24,275.71x = 36,413.53 × 7,637.19
  4. Step 4: Simplify right side
    24,275.71x = 278,097,047.18
  5. Step 5: Solve for x
    x = 278,097,047.18/24,275.71
  6. Step 6: Final answer
    x = 11,455.77

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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.