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Finding the Fourth Proportional to 16,292.75, 24,444.59 and 6,426.68

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Solution

The fourth proportional to 16,292.75, 24,444.59 and 6,426.68 is: 9,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.75 : 24,444.59 = 6,426.68 : x
  2. Step 2: Convert to fraction form
    16,292.75/24,444.59 = 6,426.68/x
  3. Step 3: Cross multiply
    16,292.75x = 24,444.59 × 6,426.68
  4. Step 4: Simplify right side
    16,292.75x = 157,097,403.30
  5. Step 5: Solve for x
    x = 157,097,403.30/16,292.75
  6. Step 6: Final answer
    x = 9,642.17

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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.