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Finding the Fourth Proportional to 21,425.85, 32,140.04 and 8,278.29

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Solution

The fourth proportional to 21,425.85, 32,140.04 and 8,278.29 is: 12,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.85 : 32,140.04 = 8,278.29 : x
  2. Step 2: Convert to fraction form
    21,425.85/32,140.04 = 8,278.29/x
  3. Step 3: Cross multiply
    21,425.85x = 32,140.04 × 8,278.29
  4. Step 4: Simplify right side
    21,425.85x = 266,064,530.34
  5. Step 5: Solve for x
    x = 266,064,530.34/21,425.85
  6. Step 6: Final answer
    x = 12,417.92

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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.