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Finding the Fourth Proportional to 11,595.68, 17,393.68 and 2,830.80

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Solution

The fourth proportional to 11,595.68, 17,393.68 and 2,830.80 is: 4,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.68 : 17,393.68 = 2,830.80 : x
  2. Step 2: Convert to fraction form
    11,595.68/17,393.68 = 2,830.80/x
  3. Step 3: Cross multiply
    11,595.68x = 17,393.68 × 2,830.80
  4. Step 4: Simplify right side
    11,595.68x = 49,238,029.34
  5. Step 5: Solve for x
    x = 49,238,029.34/11,595.68
  6. Step 6: Final answer
    x = 4,246.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.