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Finding the Fourth Proportional to 25,258.59, 37,889.24 and 9,675

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Solution

The fourth proportional to 25,258.59, 37,889.24 and 9,675 is: 14,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.59 : 37,889.24 = 9,675 : x
  2. Step 2: Convert to fraction form
    25,258.59/37,889.24 = 9,675/x
  3. Step 3: Cross multiply
    25,258.59x = 37,889.24 × 9,675
  4. Step 4: Simplify right side
    25,258.59x = 366,578,348.63
  5. Step 5: Solve for x
    x = 366,578,348.63/25,258.59
  6. Step 6: Final answer
    x = 14,513.02

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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.