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Finding the Fourth Proportional to 24,842.63, 34,282.50 and 13,511.88

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Solution

The fourth proportional to 24,842.63, 34,282.50 and 13,511.88 is: 18,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.63 : 34,282.50 = 13,511.88 : x
  2. Step 2: Convert to fraction form
    24,842.63/34,282.50 = 13,511.88/x
  3. Step 3: Cross multiply
    24,842.63x = 34,282.50 × 13,511.88
  4. Step 4: Simplify right side
    24,842.63x = 463,221,026.10
  5. Step 5: Solve for x
    x = 463,221,026.10/24,842.63
  6. Step 6: Final answer
    x = 18,646.22

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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.