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Finding the Fourth Proportional to 15,502.75, 23,254.14 and 5,114.50

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Solution

The fourth proportional to 15,502.75, 23,254.14 and 5,114.50 is: 7,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.75 : 23,254.14 = 5,114.50 : x
  2. Step 2: Convert to fraction form
    15,502.75/23,254.14 = 5,114.50/x
  3. Step 3: Cross multiply
    15,502.75x = 23,254.14 × 5,114.50
  4. Step 4: Simplify right side
    15,502.75x = 118,933,299.03
  5. Step 5: Solve for x
    x = 118,933,299.03/15,502.75
  6. Step 6: Final answer
    x = 7,671.75

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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.