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Finding the Fourth Proportional to 16,275.42, 24,413.13 and 7,505.55

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Solution

The fourth proportional to 16,275.42, 24,413.13 and 7,505.55 is: 11,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.42 : 24,413.13 = 7,505.55 : x
  2. Step 2: Convert to fraction form
    16,275.42/24,413.13 = 7,505.55/x
  3. Step 3: Cross multiply
    16,275.42x = 24,413.13 × 7,505.55
  4. Step 4: Simplify right side
    16,275.42x = 183,233,967.87
  5. Step 5: Solve for x
    x = 183,233,967.87/16,275.42
  6. Step 6: Final answer
    x = 11,258.33

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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.