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Finding the Fourth Proportional to 25,517.68, 35,214.40 and 14,907.40

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Solution

The fourth proportional to 25,517.68, 35,214.40 and 14,907.40 is: 20,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517.68 : 35,214.40 = 14,907.40 : x
  2. Step 2: Convert to fraction form
    25,517.68/35,214.40 = 14,907.40/x
  3. Step 3: Cross multiply
    25,517.68x = 35,214.40 × 14,907.40
  4. Step 4: Simplify right side
    25,517.68x = 524,955,146.56
  5. Step 5: Solve for x
    x = 524,955,146.56/25,517.68
  6. Step 6: Final answer
    x = 20,572.21

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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.