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Finding the Fourth Proportional to 25,652, 35,377.08 and 16,691.24

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Solution

The fourth proportional to 25,652, 35,377.08 and 16,691.24 is: 23,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652 : 35,377.08 = 16,691.24 : x
  2. Step 2: Convert to fraction form
    25,652/35,377.08 = 16,691.24/x
  3. Step 3: Cross multiply
    25,652x = 35,377.08 × 16,691.24
  4. Step 4: Simplify right side
    25,652x = 590,487,332.78
  5. Step 5: Solve for x
    x = 590,487,332.78/25,652
  6. Step 6: Final answer
    x = 23,019.15

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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.