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Finding the Fourth Proportional to 19,679.40, 29,523.35 and 9,141.71

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Solution

The fourth proportional to 19,679.40, 29,523.35 and 9,141.71 is: 13,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.40 : 29,523.35 = 9,141.71 : x
  2. Step 2: Convert to fraction form
    19,679.40/29,523.35 = 9,141.71/x
  3. Step 3: Cross multiply
    19,679.40x = 29,523.35 × 9,141.71
  4. Step 4: Simplify right side
    19,679.40x = 269,893,779.17
  5. Step 5: Solve for x
    x = 269,893,779.17/19,679.40
  6. Step 6: Final answer
    x = 13,714.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.