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Finding the Fourth Proportional to 25,707, 35,475.66 and 14,529

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Solution

The fourth proportional to 25,707, 35,475.66 and 14,529 is: 20,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707 : 35,475.66 = 14,529 : x
  2. Step 2: Convert to fraction form
    25,707/35,475.66 = 14,529/x
  3. Step 3: Cross multiply
    25,707x = 35,475.66 × 14,529
  4. Step 4: Simplify right side
    25,707x = 515,425,864.14
  5. Step 5: Solve for x
    x = 515,425,864.14/25,707
  6. Step 6: Final answer
    x = 20,050.02

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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.