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Finding the Fourth Proportional to 25,154, 37,748.28 and 8,738

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Solution

The fourth proportional to 25,154, 37,748.28 and 8,738 is: 13,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154 : 37,748.28 = 8,738 : x
  2. Step 2: Convert to fraction form
    25,154/37,748.28 = 8,738/x
  3. Step 3: Cross multiply
    25,154x = 37,748.28 × 8,738
  4. Step 4: Simplify right side
    25,154x = 329,844,470.64
  5. Step 5: Solve for x
    x = 329,844,470.64/25,154
  6. Step 6: Final answer
    x = 13,113.00

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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.