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Finding the Fourth Proportional to 15,030.12, 22,530 and 7,234.68

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Solution

The fourth proportional to 15,030.12, 22,530 and 7,234.68 is: 10,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,030.12 : 22,530 = 7,234.68 : x
  2. Step 2: Convert to fraction form
    15,030.12/22,530 = 7,234.68/x
  3. Step 3: Cross multiply
    15,030.12x = 22,530 × 7,234.68
  4. Step 4: Simplify right side
    15,030.12x = 162,997,340.40
  5. Step 5: Solve for x
    x = 162,997,340.40/15,030.12
  6. Step 6: Final answer
    x = 10,844.71

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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.