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Finding the Fourth Proportional to 25,178.58, 37,735.50 and 10,397.88

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Solution

The fourth proportional to 25,178.58, 37,735.50 and 10,397.88 is: 15,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.58 : 37,735.50 = 10,397.88 : x
  2. Step 2: Convert to fraction form
    25,178.58/37,735.50 = 10,397.88/x
  3. Step 3: Cross multiply
    25,178.58x = 37,735.50 × 10,397.88
  4. Step 4: Simplify right side
    25,178.58x = 392,369,200.74
  5. Step 5: Solve for x
    x = 392,369,200.74/25,178.58
  6. Step 6: Final answer
    x = 15,583.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.