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Finding the Fourth Proportional to 22,146, 33,219.12 and 5,730

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Solution

The fourth proportional to 22,146, 33,219.12 and 5,730 is: 8,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146 : 33,219.12 = 5,730 : x
  2. Step 2: Convert to fraction form
    22,146/33,219.12 = 5,730/x
  3. Step 3: Cross multiply
    22,146x = 33,219.12 × 5,730
  4. Step 4: Simplify right side
    22,146x = 190,345,557.60
  5. Step 5: Solve for x
    x = 190,345,557.60/22,146
  6. Step 6: Final answer
    x = 8,595.03

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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.