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Finding the Fourth Proportional to 23,688.95, 32,689.85 and 14,255.69

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Solution

The fourth proportional to 23,688.95, 32,689.85 and 14,255.69 is: 19,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.95 : 32,689.85 = 14,255.69 : x
  2. Step 2: Convert to fraction form
    23,688.95/32,689.85 = 14,255.69/x
  3. Step 3: Cross multiply
    23,688.95x = 32,689.85 × 14,255.69
  4. Step 4: Simplify right side
    23,688.95x = 466,016,133.02
  5. Step 5: Solve for x
    x = 466,016,133.02/23,688.95
  6. Step 6: Final answer
    x = 19,672.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.