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Finding the Fourth Proportional to 15,674.42, 23,523 and 5,815.10

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Solution

The fourth proportional to 15,674.42, 23,523 and 5,815.10 is: 8,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.42 : 23,523 = 5,815.10 : x
  2. Step 2: Convert to fraction form
    15,674.42/23,523 = 5,815.10/x
  3. Step 3: Cross multiply
    15,674.42x = 23,523 × 5,815.10
  4. Step 4: Simplify right side
    15,674.42x = 136,788,597.30
  5. Step 5: Solve for x
    x = 136,788,597.30/15,674.42
  6. Step 6: Final answer
    x = 8,726.87

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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.