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Finding the Fourth Proportional to 24,257.59, 33,470.42 and 14,184.08

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Solution

The fourth proportional to 24,257.59, 33,470.42 and 14,184.08 is: 19,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.59 : 33,470.42 = 14,184.08 : x
  2. Step 2: Convert to fraction form
    24,257.59/33,470.42 = 14,184.08/x
  3. Step 3: Cross multiply
    24,257.59x = 33,470.42 × 14,184.08
  4. Step 4: Simplify right side
    24,257.59x = 474,747,002.16
  5. Step 5: Solve for x
    x = 474,747,002.16/24,257.59
  6. Step 6: Final answer
    x = 19,571.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.