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Finding the Fourth Proportional to 21,386.80, 32,079.48 and 9,691.84

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Solution

The fourth proportional to 21,386.80, 32,079.48 and 9,691.84 is: 14,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.80 : 32,079.48 = 9,691.84 : x
  2. Step 2: Convert to fraction form
    21,386.80/32,079.48 = 9,691.84/x
  3. Step 3: Cross multiply
    21,386.80x = 32,079.48 × 9,691.84
  4. Step 4: Simplify right side
    21,386.80x = 310,909,187.44
  5. Step 5: Solve for x
    x = 310,909,187.44/21,386.80
  6. Step 6: Final answer
    x = 14,537.43

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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.