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Finding the Fourth Proportional to 24,465.76, 33,751.84 and 14,524

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Solution

The fourth proportional to 24,465.76, 33,751.84 and 14,524 is: 20,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.76 : 33,751.84 = 14,524 : x
  2. Step 2: Convert to fraction form
    24,465.76/33,751.84 = 14,524/x
  3. Step 3: Cross multiply
    24,465.76x = 33,751.84 × 14,524
  4. Step 4: Simplify right side
    24,465.76x = 490,211,724.16
  5. Step 5: Solve for x
    x = 490,211,724.16/24,465.76
  6. Step 6: Final answer
    x = 20,036.64

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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.