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Finding the Fourth Proportional to 24,263.68, 33,482.59 and 13,654

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Solution

The fourth proportional to 24,263.68, 33,482.59 and 13,654 is: 18,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,263.68 : 33,482.59 = 13,654 : x
  2. Step 2: Convert to fraction form
    24,263.68/33,482.59 = 13,654/x
  3. Step 3: Cross multiply
    24,263.68x = 33,482.59 × 13,654
  4. Step 4: Simplify right side
    24,263.68x = 457,171,283.86
  5. Step 5: Solve for x
    x = 457,171,283.86/24,263.68
  6. Step 6: Final answer
    x = 18,841.79

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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.