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Finding the Fourth Proportional to 21,407.36, 32,111.88 and 6,614.96

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Solution

The fourth proportional to 21,407.36, 32,111.88 and 6,614.96 is: 9,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.36 : 32,111.88 = 6,614.96 : x
  2. Step 2: Convert to fraction form
    21,407.36/32,111.88 = 6,614.96/x
  3. Step 3: Cross multiply
    21,407.36x = 32,111.88 × 6,614.96
  4. Step 4: Simplify right side
    21,407.36x = 212,418,801.72
  5. Step 5: Solve for x
    x = 212,418,801.72/21,407.36
  6. Step 6: Final answer
    x = 9,922.70

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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.