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Finding the Fourth Proportional to 21,422.31, 32,078.10 and 14,779.29

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Solution

The fourth proportional to 21,422.31, 32,078.10 and 14,779.29 is: 22,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.31 : 32,078.10 = 14,779.29 : x
  2. Step 2: Convert to fraction form
    21,422.31/32,078.10 = 14,779.29/x
  3. Step 3: Cross multiply
    21,422.31x = 32,078.10 × 14,779.29
  4. Step 4: Simplify right side
    21,422.31x = 474,091,542.55
  5. Step 5: Solve for x
    x = 474,091,542.55/21,422.31
  6. Step 6: Final answer
    x = 22,130.74

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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.