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Finding the Fourth Proportional to 24,580, 36,870.14 and 6,112

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Solution

The fourth proportional to 24,580, 36,870.14 and 6,112 is: 9,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580 : 36,870.14 = 6,112 : x
  2. Step 2: Convert to fraction form
    24,580/36,870.14 = 6,112/x
  3. Step 3: Cross multiply
    24,580x = 36,870.14 × 6,112
  4. Step 4: Simplify right side
    24,580x = 225,350,265.12
  5. Step 5: Solve for x
    x = 225,350,265.12/24,580
  6. Step 6: Final answer
    x = 9,168.03

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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.