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Finding the Fourth Proportional to 15,413.32, 23,127 and 6,531.08

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Solution

The fourth proportional to 15,413.32, 23,127 and 6,531.08 is: 9,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.32 : 23,127 = 6,531.08 : x
  2. Step 2: Convert to fraction form
    15,413.32/23,127 = 6,531.08/x
  3. Step 3: Cross multiply
    15,413.32x = 23,127 × 6,531.08
  4. Step 4: Simplify right side
    15,413.32x = 151,044,287.16
  5. Step 5: Solve for x
    x = 151,044,287.16/15,413.32
  6. Step 6: Final answer
    x = 9,799.59

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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.