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Finding the Fourth Proportional to 15,525.38, 21,424.86 and 8,451.65

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Solution

The fourth proportional to 15,525.38, 21,424.86 and 8,451.65 is: 11,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,525.38 : 21,424.86 = 8,451.65 : x
  2. Step 2: Convert to fraction form
    15,525.38/21,424.86 = 8,451.65/x
  3. Step 3: Cross multiply
    15,525.38x = 21,424.86 × 8,451.65
  4. Step 4: Simplify right side
    15,525.38x = 181,075,310.89
  5. Step 5: Solve for x
    x = 181,075,310.89/15,525.38
  6. Step 6: Final answer
    x = 11,663.18

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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.