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Finding the Fourth Proportional to 15,751.20, 23,610.12 and 5,218.50

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Solution

The fourth proportional to 15,751.20, 23,610.12 and 5,218.50 is: 7,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.20 : 23,610.12 = 5,218.50 : x
  2. Step 2: Convert to fraction form
    15,751.20/23,610.12 = 5,218.50/x
  3. Step 3: Cross multiply
    15,751.20x = 23,610.12 × 5,218.50
  4. Step 4: Simplify right side
    15,751.20x = 123,209,411.22
  5. Step 5: Solve for x
    x = 123,209,411.22/15,751.20
  6. Step 6: Final answer
    x = 7,822.22

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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.