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Finding the Fourth Proportional to 21,509.46, 32,264.75 and 10,414.08

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Solution

The fourth proportional to 21,509.46, 32,264.75 and 10,414.08 is: 15,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.46 : 32,264.75 = 10,414.08 : x
  2. Step 2: Convert to fraction form
    21,509.46/32,264.75 = 10,414.08/x
  3. Step 3: Cross multiply
    21,509.46x = 32,264.75 × 10,414.08
  4. Step 4: Simplify right side
    21,509.46x = 336,007,635.61
  5. Step 5: Solve for x
    x = 336,007,635.61/21,509.46
  6. Step 6: Final answer
    x = 15,621.39

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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.