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Finding the Fourth Proportional to 24,509.14, 33,813.45 and 14,431.42

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Solution

The fourth proportional to 24,509.14, 33,813.45 and 14,431.42 is: 19,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.14 : 33,813.45 = 14,431.42 : x
  2. Step 2: Convert to fraction form
    24,509.14/33,813.45 = 14,431.42/x
  3. Step 3: Cross multiply
    24,509.14x = 33,813.45 × 14,431.42
  4. Step 4: Simplify right side
    24,509.14x = 487,976,098.60
  5. Step 5: Solve for x
    x = 487,976,098.60/24,509.14
  6. Step 6: Final answer
    x = 19,909.96

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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.