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Finding the Fourth Proportional to 12,357.36, 17,046.80 and 8,377.12

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Solution

The fourth proportional to 12,357.36, 17,046.80 and 8,377.12 is: 11,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.36 : 17,046.80 = 8,377.12 : x
  2. Step 2: Convert to fraction form
    12,357.36/17,046.80 = 8,377.12/x
  3. Step 3: Cross multiply
    12,357.36x = 17,046.80 × 8,377.12
  4. Step 4: Simplify right side
    12,357.36x = 142,803,089.22
  5. Step 5: Solve for x
    x = 142,803,089.22/12,357.36
  6. Step 6: Final answer
    x = 11,556.12

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