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Finding the Fourth Proportional to 15,176.76, 22,772.18 and 6,413.72

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Solution

The fourth proportional to 15,176.76, 22,772.18 and 6,413.72 is: 9,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.76 : 22,772.18 = 6,413.72 : x
  2. Step 2: Convert to fraction form
    15,176.76/22,772.18 = 6,413.72/x
  3. Step 3: Cross multiply
    15,176.76x = 22,772.18 × 6,413.72
  4. Step 4: Simplify right side
    15,176.76x = 146,054,386.31
  5. Step 5: Solve for x
    x = 146,054,386.31/15,176.76
  6. Step 6: Final answer
    x = 9,623.56

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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.