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Finding the Fourth Proportional to 24,536, 33,863.52 and 14,605.76

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Solution

The fourth proportional to 24,536, 33,863.52 and 14,605.76 is: 20,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536 : 33,863.52 = 14,605.76 : x
  2. Step 2: Convert to fraction form
    24,536/33,863.52 = 14,605.76/x
  3. Step 3: Cross multiply
    24,536x = 33,863.52 × 14,605.76
  4. Step 4: Simplify right side
    24,536x = 494,602,445.88
  5. Step 5: Solve for x
    x = 494,602,445.88/24,536
  6. Step 6: Final answer
    x = 20,158.23

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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.