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Finding the Fourth Proportional to 25,474.32, 35,154 and 14,865

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Solution

The fourth proportional to 25,474.32, 35,154 and 14,865 is: 20,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.32 : 35,154 = 14,865 : x
  2. Step 2: Convert to fraction form
    25,474.32/35,154 = 14,865/x
  3. Step 3: Cross multiply
    25,474.32x = 35,154 × 14,865
  4. Step 4: Simplify right side
    25,474.32x = 522,564,210
  5. Step 5: Solve for x
    x = 522,564,210/25,474.32
  6. Step 6: Final answer
    x = 20,513.37

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Why These Related Problems?

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