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Finding the Fourth Proportional to 25,073, 37,626.78 and 8,657

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Solution

The fourth proportional to 25,073, 37,626.78 and 8,657 is: 12,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,073 : 37,626.78 = 8,657 : x
  2. Step 2: Convert to fraction form
    25,073/37,626.78 = 8,657/x
  3. Step 3: Cross multiply
    25,073x = 37,626.78 × 8,657
  4. Step 4: Simplify right side
    25,073x = 325,735,034.46
  5. Step 5: Solve for x
    x = 325,735,034.46/25,073
  6. Step 6: Final answer
    x = 12,991.47

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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.