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Finding the Fourth Proportional to 25,898.94, 38,856.62 and 9,258.62

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Solution

The fourth proportional to 25,898.94, 38,856.62 and 9,258.62 is: 13,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.94 : 38,856.62 = 9,258.62 : x
  2. Step 2: Convert to fraction form
    25,898.94/38,856.62 = 9,258.62/x
  3. Step 3: Cross multiply
    25,898.94x = 38,856.62 × 9,258.62
  4. Step 4: Simplify right side
    25,898.94x = 359,758,507.93
  5. Step 5: Solve for x
    x = 359,758,507.93/25,898.94
  6. Step 6: Final answer
    x = 13,890.86

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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.