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Finding the Fourth Proportional to 25,614.38, 35,348.12 and 14,436.38

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Solution

The fourth proportional to 25,614.38, 35,348.12 and 14,436.38 is: 19,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.38 : 35,348.12 = 14,436.38 : x
  2. Step 2: Convert to fraction form
    25,614.38/35,348.12 = 14,436.38/x
  3. Step 3: Cross multiply
    25,614.38x = 35,348.12 × 14,436.38
  4. Step 4: Simplify right side
    25,614.38x = 510,298,643.68
  5. Step 5: Solve for x
    x = 510,298,643.68/25,614.38
  6. Step 6: Final answer
    x = 19,922.35

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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.