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Finding the Fourth Proportional to 15,221.10, 22,829.82 and 4,127.10

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Solution

The fourth proportional to 15,221.10, 22,829.82 and 4,127.10 is: 6,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.10 : 22,829.82 = 4,127.10 : x
  2. Step 2: Convert to fraction form
    15,221.10/22,829.82 = 4,127.10/x
  3. Step 3: Cross multiply
    15,221.10x = 22,829.82 × 4,127.10
  4. Step 4: Simplify right side
    15,221.10x = 94,220,950.12
  5. Step 5: Solve for x
    x = 94,220,950.12/15,221.10
  6. Step 6: Final answer
    x = 6,190.15

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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.