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Finding the Fourth Proportional to 12,357.18, 17,046.18 and 7,873.02

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Solution

The fourth proportional to 12,357.18, 17,046.18 and 7,873.02 is: 10,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.18 : 17,046.18 = 7,873.02 : x
  2. Step 2: Convert to fraction form
    12,357.18/17,046.18 = 7,873.02/x
  3. Step 3: Cross multiply
    12,357.18x = 17,046.18 × 7,873.02
  4. Step 4: Simplify right side
    12,357.18x = 134,204,916.06
  5. Step 5: Solve for x
    x = 134,204,916.06/12,357.18
  6. Step 6: Final answer
    x = 10,860.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.