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Finding the Fourth Proportional to 24,926.40, 34,399.20 and 14,318.16

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Solution

The fourth proportional to 24,926.40, 34,399.20 and 14,318.16 is: 19,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926.40 : 34,399.20 = 14,318.16 : x
  2. Step 2: Convert to fraction form
    24,926.40/34,399.20 = 14,318.16/x
  3. Step 3: Cross multiply
    24,926.40x = 34,399.20 × 14,318.16
  4. Step 4: Simplify right side
    24,926.40x = 492,533,249.47
  5. Step 5: Solve for x
    x = 492,533,249.47/24,926.40
  6. Step 6: Final answer
    x = 19,759.50

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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.