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Finding the Fourth Proportional to 24,378.31, 33,645.65 and 14,312.30

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Solution

The fourth proportional to 24,378.31, 33,645.65 and 14,312.30 is: 19,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.31 : 33,645.65 = 14,312.30 : x
  2. Step 2: Convert to fraction form
    24,378.31/33,645.65 = 14,312.30/x
  3. Step 3: Cross multiply
    24,378.31x = 33,645.65 × 14,312.30
  4. Step 4: Simplify right side
    24,378.31x = 481,546,636.50
  5. Step 5: Solve for x
    x = 481,546,636.50/24,378.31
  6. Step 6: Final answer
    x = 19,753.08

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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.