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Finding the Fourth Proportional to 15,413.76, 23,132.16 and 7,211.52

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Solution

The fourth proportional to 15,413.76, 23,132.16 and 7,211.52 is: 10,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.76 : 23,132.16 = 7,211.52 : x
  2. Step 2: Convert to fraction form
    15,413.76/23,132.16 = 7,211.52/x
  3. Step 3: Cross multiply
    15,413.76x = 23,132.16 × 7,211.52
  4. Step 4: Simplify right side
    15,413.76x = 166,818,034.48
  5. Step 5: Solve for x
    x = 166,818,034.48/15,413.76
  6. Step 6: Final answer
    x = 10,822.67

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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.