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Finding the Fourth Proportional to 25,730.52, 38,595.06 and 8,201.40

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Solution

The fourth proportional to 25,730.52, 38,595.06 and 8,201.40 is: 12,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.52 : 38,595.06 = 8,201.40 : x
  2. Step 2: Convert to fraction form
    25,730.52/38,595.06 = 8,201.40/x
  3. Step 3: Cross multiply
    25,730.52x = 38,595.06 × 8,201.40
  4. Step 4: Simplify right side
    25,730.52x = 316,533,525.08
  5. Step 5: Solve for x
    x = 316,533,525.08/25,730.52
  6. Step 6: Final answer
    x = 12,301.87

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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.