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Finding the Fourth Proportional to 17,978.76, 26,966.32 and 4,832.46

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Solution

The fourth proportional to 17,978.76, 26,966.32 and 4,832.46 is: 7,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.76 : 26,966.32 = 4,832.46 : x
  2. Step 2: Convert to fraction form
    17,978.76/26,966.32 = 4,832.46/x
  3. Step 3: Cross multiply
    17,978.76x = 26,966.32 × 4,832.46
  4. Step 4: Simplify right side
    17,978.76x = 130,313,650.67
  5. Step 5: Solve for x
    x = 130,313,650.67/17,978.76
  6. Step 6: Final answer
    x = 7,248.20

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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.