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Finding the Fourth Proportional to 24,069.68, 36,091.18 and 9,848.15

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Solution

The fourth proportional to 24,069.68, 36,091.18 and 9,848.15 is: 14,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,069.68 : 36,091.18 = 9,848.15 : x
  2. Step 2: Convert to fraction form
    24,069.68/36,091.18 = 9,848.15/x
  3. Step 3: Cross multiply
    24,069.68x = 36,091.18 × 9,848.15
  4. Step 4: Simplify right side
    24,069.68x = 355,431,354.32
  5. Step 5: Solve for x
    x = 355,431,354.32/24,069.68
  6. Step 6: Final answer
    x = 14,766.77

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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.