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Finding the Fourth Proportional to 15,870.85, 23,805.33 and 7,103.41

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Solution

The fourth proportional to 15,870.85, 23,805.33 and 7,103.41 is: 10,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.85 : 23,805.33 = 7,103.41 : x
  2. Step 2: Convert to fraction form
    15,870.85/23,805.33 = 7,103.41/x
  3. Step 3: Cross multiply
    15,870.85x = 23,805.33 × 7,103.41
  4. Step 4: Simplify right side
    15,870.85x = 169,098,933.02
  5. Step 5: Solve for x
    x = 169,098,933.02/15,870.85
  6. Step 6: Final answer
    x = 10,654.69

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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.