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Finding the Fourth Proportional to 25,427.25, 38,140.88 and 9,844.88

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Solution

The fourth proportional to 25,427.25, 38,140.88 and 9,844.88 is: 14,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.25 : 38,140.88 = 9,844.88 : x
  2. Step 2: Convert to fraction form
    25,427.25/38,140.88 = 9,844.88/x
  3. Step 3: Cross multiply
    25,427.25x = 38,140.88 × 9,844.88
  4. Step 4: Simplify right side
    25,427.25x = 375,492,146.77
  5. Step 5: Solve for x
    x = 375,492,146.77/25,427.25
  6. Step 6: Final answer
    x = 14,767.31

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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.