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Finding the Fourth Proportional to 24,508.40, 33,805.64 and 14,428.34

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Solution

The fourth proportional to 24,508.40, 33,805.64 and 14,428.34 is: 19,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.40 : 33,805.64 = 14,428.34 : x
  2. Step 2: Convert to fraction form
    24,508.40/33,805.64 = 14,428.34/x
  3. Step 3: Cross multiply
    24,508.40x = 33,805.64 × 14,428.34
  4. Step 4: Simplify right side
    24,508.40x = 487,759,267.84
  5. Step 5: Solve for x
    x = 487,759,267.84/24,508.40
  6. Step 6: Final answer
    x = 19,901.72

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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.