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Finding the Fourth Proportional to 13,138.74, 19,658.70 and 7,854.30

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Solution

The fourth proportional to 13,138.74, 19,658.70 and 7,854.30 is: 11,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.74 : 19,658.70 = 7,854.30 : x
  2. Step 2: Convert to fraction form
    13,138.74/19,658.70 = 7,854.30/x
  3. Step 3: Cross multiply
    13,138.74x = 19,658.70 × 7,854.30
  4. Step 4: Simplify right side
    13,138.74x = 154,405,327.41
  5. Step 5: Solve for x
    x = 154,405,327.41/13,138.74
  6. Step 6: Final answer
    x = 11,751.91

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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.