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Finding the Fourth Proportional to 24,712, 37,068.18 and 8,296

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Solution

The fourth proportional to 24,712, 37,068.18 and 8,296 is: 12,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712 : 37,068.18 = 8,296 : x
  2. Step 2: Convert to fraction form
    24,712/37,068.18 = 8,296/x
  3. Step 3: Cross multiply
    24,712x = 37,068.18 × 8,296
  4. Step 4: Simplify right side
    24,712x = 307,517,621.28
  5. Step 5: Solve for x
    x = 307,517,621.28/24,712
  6. Step 6: Final answer
    x = 12,444.06

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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.