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Finding the Fourth Proportional to 15,297.32, 22,951.76 and 10,413.02

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Solution

The fourth proportional to 15,297.32, 22,951.76 and 10,413.02 is: 15,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.32 : 22,951.76 = 10,413.02 : x
  2. Step 2: Convert to fraction form
    15,297.32/22,951.76 = 10,413.02/x
  3. Step 3: Cross multiply
    15,297.32x = 22,951.76 × 10,413.02
  4. Step 4: Simplify right side
    15,297.32x = 238,997,141.23
  5. Step 5: Solve for x
    x = 238,997,141.23/15,297.32
  6. Step 6: Final answer
    x = 15,623.46

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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.