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Finding the Fourth Proportional to 16,470.47, 24,708.11 and 4,782.17

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Solution

The fourth proportional to 16,470.47, 24,708.11 and 4,782.17 is: 7,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.47 : 24,708.11 = 4,782.17 : x
  2. Step 2: Convert to fraction form
    16,470.47/24,708.11 = 4,782.17/x
  3. Step 3: Cross multiply
    16,470.47x = 24,708.11 × 4,782.17
  4. Step 4: Simplify right side
    16,470.47x = 118,158,234.95
  5. Step 5: Solve for x
    x = 118,158,234.95/16,470.47
  6. Step 6: Final answer
    x = 7,173.95

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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.