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Finding the Fourth Proportional to 24,300, 36,456.48 and 11,988

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Solution

The fourth proportional to 24,300, 36,456.48 and 11,988 is: 17,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 36,456.48 = 11,988 : x
  2. Step 2: Convert to fraction form
    24,300/36,456.48 = 11,988/x
  3. Step 3: Cross multiply
    24,300x = 36,456.48 × 11,988
  4. Step 4: Simplify right side
    24,300x = 437,040,282.24
  5. Step 5: Solve for x
    x = 437,040,282.24/24,300
  6. Step 6: Final answer
    x = 17,985.20

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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.