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Finding the Fourth Proportional to 12,357.86, 17,049.62 and 7,048.85

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Solution

The fourth proportional to 12,357.86, 17,049.62 and 7,048.85 is: 9,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.86 : 17,049.62 = 7,048.85 : x
  2. Step 2: Convert to fraction form
    12,357.86/17,049.62 = 7,048.85/x
  3. Step 3: Cross multiply
    12,357.86x = 17,049.62 × 7,048.85
  4. Step 4: Simplify right side
    12,357.86x = 120,180,146.31
  5. Step 5: Solve for x
    x = 120,180,146.31/12,357.86
  6. Step 6: Final answer
    x = 9,725.00

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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.