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Finding the Fourth Proportional to 24,130.56, 36,182.82 and 7,483.44

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Solution

The fourth proportional to 24,130.56, 36,182.82 and 7,483.44 is: 11,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.56 : 36,182.82 = 7,483.44 : x
  2. Step 2: Convert to fraction form
    24,130.56/36,182.82 = 7,483.44/x
  3. Step 3: Cross multiply
    24,130.56x = 36,182.82 × 7,483.44
  4. Step 4: Simplify right side
    24,130.56x = 270,771,962.50
  5. Step 5: Solve for x
    x = 270,771,962.50/24,130.56
  6. Step 6: Final answer
    x = 11,221.12

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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.