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Finding the Fourth Proportional to 16,344.95, 24,499.88 and 6,470.51

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Solution

The fourth proportional to 16,344.95, 24,499.88 and 6,470.51 is: 9,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.95 : 24,499.88 = 6,470.51 : x
  2. Step 2: Convert to fraction form
    16,344.95/24,499.88 = 6,470.51/x
  3. Step 3: Cross multiply
    16,344.95x = 24,499.88 × 6,470.51
  4. Step 4: Simplify right side
    16,344.95x = 158,526,686.19
  5. Step 5: Solve for x
    x = 158,526,686.19/16,344.95
  6. Step 6: Final answer
    x = 9,698.82

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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.