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Finding the Fourth Proportional to 25,074.64, 34,601.14 and 13,742.32

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Solution

The fourth proportional to 25,074.64, 34,601.14 and 13,742.32 is: 18,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074.64 : 34,601.14 = 13,742.32 : x
  2. Step 2: Convert to fraction form
    25,074.64/34,601.14 = 13,742.32/x
  3. Step 3: Cross multiply
    25,074.64x = 34,601.14 × 13,742.32
  4. Step 4: Simplify right side
    25,074.64x = 475,499,938.24
  5. Step 5: Solve for x
    x = 475,499,938.24/25,074.64
  6. Step 6: Final answer
    x = 18,963.38

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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.