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Finding the Fourth Proportional to 25,258.64, 37,866.36 and 9,687.44

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Solution

The fourth proportional to 25,258.64, 37,866.36 and 9,687.44 is: 14,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.64 : 37,866.36 = 9,687.44 : x
  2. Step 2: Convert to fraction form
    25,258.64/37,866.36 = 9,687.44/x
  3. Step 3: Cross multiply
    25,258.64x = 37,866.36 × 9,687.44
  4. Step 4: Simplify right side
    25,258.64x = 366,828,090.52
  5. Step 5: Solve for x
    x = 366,828,090.52/25,258.64
  6. Step 6: Final answer
    x = 14,522.88

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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.