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Finding the Fourth Proportional to 24,656.18, 36,978.86 and 7,122.20

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Solution

The fourth proportional to 24,656.18, 36,978.86 and 7,122.20 is: 10,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.18 : 36,978.86 = 7,122.20 : x
  2. Step 2: Convert to fraction form
    24,656.18/36,978.86 = 7,122.20/x
  3. Step 3: Cross multiply
    24,656.18x = 36,978.86 × 7,122.20
  4. Step 4: Simplify right side
    24,656.18x = 263,370,836.69
  5. Step 5: Solve for x
    x = 263,370,836.69/24,656.18
  6. Step 6: Final answer
    x = 10,681.74

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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.