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Finding the Fourth Proportional to 15,802.76, 23,687.48 and 6,439.16

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Solution

The fourth proportional to 15,802.76, 23,687.48 and 6,439.16 is: 9,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.76 : 23,687.48 = 6,439.16 : x
  2. Step 2: Convert to fraction form
    15,802.76/23,687.48 = 6,439.16/x
  3. Step 3: Cross multiply
    15,802.76x = 23,687.48 × 6,439.16
  4. Step 4: Simplify right side
    15,802.76x = 152,527,473.72
  5. Step 5: Solve for x
    x = 152,527,473.72/15,802.76
  6. Step 6: Final answer
    x = 9,651.95

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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.