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Finding the Fourth Proportional to 21,672.61, 32,447.28 and 14,254.76

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Solution

The fourth proportional to 21,672.61, 32,447.28 and 14,254.76 is: 21,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.61 : 32,447.28 = 14,254.76 : x
  2. Step 2: Convert to fraction form
    21,672.61/32,447.28 = 14,254.76/x
  3. Step 3: Cross multiply
    21,672.61x = 32,447.28 × 14,254.76
  4. Step 4: Simplify right side
    21,672.61x = 462,528,189.05
  5. Step 5: Solve for x
    x = 462,528,189.05/21,672.61
  6. Step 6: Final answer
    x = 21,341.60

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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.