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Finding the Fourth Proportional to 12,909.31, 17,820.75 and 9,924.10

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Solution

The fourth proportional to 12,909.31, 17,820.75 and 9,924.10 is: 13,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.31 : 17,820.75 = 9,924.10 : x
  2. Step 2: Convert to fraction form
    12,909.31/17,820.75 = 9,924.10/x
  3. Step 3: Cross multiply
    12,909.31x = 17,820.75 × 9,924.10
  4. Step 4: Simplify right side
    12,909.31x = 176,854,905.08
  5. Step 5: Solve for x
    x = 176,854,905.08/12,909.31
  6. Step 6: Final answer
    x = 13,699.80

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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.