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Finding the Fourth Proportional to 25,654.84, 35,403.40 and 15,042.42

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Solution

The fourth proportional to 25,654.84, 35,403.40 and 15,042.42 is: 20,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.84 : 35,403.40 = 15,042.42 : x
  2. Step 2: Convert to fraction form
    25,654.84/35,403.40 = 15,042.42/x
  3. Step 3: Cross multiply
    25,654.84x = 35,403.40 × 15,042.42
  4. Step 4: Simplify right side
    25,654.84x = 532,552,812.23
  5. Step 5: Solve for x
    x = 532,552,812.23/25,654.84
  6. Step 6: Final answer
    x = 20,758.38

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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.