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Finding the Fourth Proportional to 24,435.16, 36,656.34 and 8,849.14

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Solution

The fourth proportional to 24,435.16, 36,656.34 and 8,849.14 is: 13,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.16 : 36,656.34 = 8,849.14 : x
  2. Step 2: Convert to fraction form
    24,435.16/36,656.34 = 8,849.14/x
  3. Step 3: Cross multiply
    24,435.16x = 36,656.34 × 8,849.14
  4. Step 4: Simplify right side
    24,435.16x = 324,377,084.55
  5. Step 5: Solve for x
    x = 324,377,084.55/24,435.16
  6. Step 6: Final answer
    x = 13,275.01

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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.