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Finding the Fourth Proportional to 24,407.45, 36,611.17 and 6,875

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Solution

The fourth proportional to 24,407.45, 36,611.17 and 6,875 is: 10,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.45 : 36,611.17 = 6,875 : x
  2. Step 2: Convert to fraction form
    24,407.45/36,611.17 = 6,875/x
  3. Step 3: Cross multiply
    24,407.45x = 36,611.17 × 6,875
  4. Step 4: Simplify right side
    24,407.45x = 251,701,793.75
  5. Step 5: Solve for x
    x = 251,701,793.75/24,407.45
  6. Step 6: Final answer
    x = 10,312.50

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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.