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Finding the Fourth Proportional to 15,472.15, 23,203.86 and 4,799.50

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Solution

The fourth proportional to 15,472.15, 23,203.86 and 4,799.50 is: 7,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.15 : 23,203.86 = 4,799.50 : x
  2. Step 2: Convert to fraction form
    15,472.15/23,203.86 = 4,799.50/x
  3. Step 3: Cross multiply
    15,472.15x = 23,203.86 × 4,799.50
  4. Step 4: Simplify right side
    15,472.15x = 111,366,926.07
  5. Step 5: Solve for x
    x = 111,366,926.07/15,472.15
  6. Step 6: Final answer
    x = 7,197.90

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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.