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Finding the Fourth Proportional to 24,124.74, 36,186 and 6,594.54

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Solution

The fourth proportional to 24,124.74, 36,186 and 6,594.54 is: 9,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124.74 : 36,186 = 6,594.54 : x
  2. Step 2: Convert to fraction form
    24,124.74/36,186 = 6,594.54/x
  3. Step 3: Cross multiply
    24,124.74x = 36,186 × 6,594.54
  4. Step 4: Simplify right side
    24,124.74x = 238,630,024.44
  5. Step 5: Solve for x
    x = 238,630,024.44/24,124.74
  6. Step 6: Final answer
    x = 9,891.51

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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.