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Finding the Fourth Proportional to 24,191.84, 36,280.08 and 7,772

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Solution

The fourth proportional to 24,191.84, 36,280.08 and 7,772 is: 11,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.84 : 36,280.08 = 7,772 : x
  2. Step 2: Convert to fraction form
    24,191.84/36,280.08 = 7,772/x
  3. Step 3: Cross multiply
    24,191.84x = 36,280.08 × 7,772
  4. Step 4: Simplify right side
    24,191.84x = 281,968,781.76
  5. Step 5: Solve for x
    x = 281,968,781.76/24,191.84
  6. Step 6: Final answer
    x = 11,655.53

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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.