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Finding the Fourth Proportional to 25,903.72, 38,851.46 and 9,260.65

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Solution

The fourth proportional to 25,903.72, 38,851.46 and 9,260.65 is: 13,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903.72 : 38,851.46 = 9,260.65 : x
  2. Step 2: Convert to fraction form
    25,903.72/38,851.46 = 9,260.65/x
  3. Step 3: Cross multiply
    25,903.72x = 38,851.46 × 9,260.65
  4. Step 4: Simplify right side
    25,903.72x = 359,789,773.05
  5. Step 5: Solve for x
    x = 359,789,773.05/25,903.72
  6. Step 6: Final answer
    x = 13,889.50

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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.