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Finding the Fourth Proportional to 12,574.65, 18,860.51 and 4,254.65

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Solution

The fourth proportional to 12,574.65, 18,860.51 and 4,254.65 is: 6,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.65 : 18,860.51 = 4,254.65 : x
  2. Step 2: Convert to fraction form
    12,574.65/18,860.51 = 4,254.65/x
  3. Step 3: Cross multiply
    12,574.65x = 18,860.51 × 4,254.65
  4. Step 4: Simplify right side
    12,574.65x = 80,244,761.27
  5. Step 5: Solve for x
    x = 80,244,761.27/12,574.65
  6. Step 6: Final answer
    x = 6,381.47

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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.