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Finding the Fourth Proportional to 12,955.40, 19,442.70 and 5,169.80

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Solution

The fourth proportional to 12,955.40, 19,442.70 and 5,169.80 is: 7,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.40 : 19,442.70 = 5,169.80 : x
  2. Step 2: Convert to fraction form
    12,955.40/19,442.70 = 5,169.80/x
  3. Step 3: Cross multiply
    12,955.40x = 19,442.70 × 5,169.80
  4. Step 4: Simplify right side
    12,955.40x = 100,514,870.46
  5. Step 5: Solve for x
    x = 100,514,870.46/12,955.40
  6. Step 6: Final answer
    x = 7,758.53

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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.