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Finding the Fourth Proportional to 25,251.76, 37,897.08 and 11,410.48

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Solution

The fourth proportional to 25,251.76, 37,897.08 and 11,410.48 is: 17,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.76 : 37,897.08 = 11,410.48 : x
  2. Step 2: Convert to fraction form
    25,251.76/37,897.08 = 11,410.48/x
  3. Step 3: Cross multiply
    25,251.76x = 37,897.08 × 11,410.48
  4. Step 4: Simplify right side
    25,251.76x = 432,423,873.40
  5. Step 5: Solve for x
    x = 432,423,873.40/25,251.76
  6. Step 6: Final answer
    x = 17,124.50

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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.