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Finding the Fourth Proportional to 25,865.38, 35,693.21 and 15,810.64

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Solution

The fourth proportional to 25,865.38, 35,693.21 and 15,810.64 is: 21,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.38 : 35,693.21 = 15,810.64 : x
  2. Step 2: Convert to fraction form
    25,865.38/35,693.21 = 15,810.64/x
  3. Step 3: Cross multiply
    25,865.38x = 35,693.21 × 15,810.64
  4. Step 4: Simplify right side
    25,865.38x = 564,332,555.89
  5. Step 5: Solve for x
    x = 564,332,555.89/25,865.38
  6. Step 6: Final answer
    x = 21,818.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.