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Finding the Fourth Proportional to 24,304, 33,537 and 14,231.92

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Solution

The fourth proportional to 24,304, 33,537 and 14,231.92 is: 19,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,304 : 33,537 = 14,231.92 : x
  2. Step 2: Convert to fraction form
    24,304/33,537 = 14,231.92/x
  3. Step 3: Cross multiply
    24,304x = 33,537 × 14,231.92
  4. Step 4: Simplify right side
    24,304x = 477,295,901.04
  5. Step 5: Solve for x
    x = 477,295,901.04/24,304
  6. Step 6: Final answer
    x = 19,638.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.