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Finding the Fourth Proportional to 15,813.20, 23,719.82 and 4,125.50

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Solution

The fourth proportional to 15,813.20, 23,719.82 and 4,125.50 is: 6,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.20 : 23,719.82 = 4,125.50 : x
  2. Step 2: Convert to fraction form
    15,813.20/23,719.82 = 4,125.50/x
  3. Step 3: Cross multiply
    15,813.20x = 23,719.82 × 4,125.50
  4. Step 4: Simplify right side
    15,813.20x = 97,856,117.41
  5. Step 5: Solve for x
    x = 97,856,117.41/15,813.20
  6. Step 6: Final answer
    x = 6,188.26

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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.