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Finding the Fourth Proportional to 12,665.52, 18,997.38 and 4,345.20

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Solution

The fourth proportional to 12,665.52, 18,997.38 and 4,345.20 is: 6,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.52 : 18,997.38 = 4,345.20 : x
  2. Step 2: Convert to fraction form
    12,665.52/18,997.38 = 4,345.20/x
  3. Step 3: Cross multiply
    12,665.52x = 18,997.38 × 4,345.20
  4. Step 4: Simplify right side
    12,665.52x = 82,547,415.58
  5. Step 5: Solve for x
    x = 82,547,415.58/12,665.52
  6. Step 6: Final answer
    x = 6,517.49

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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.