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Finding the Fourth Proportional to 13,854.87, 19,119.63 and 7,567.20

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Solution

The fourth proportional to 13,854.87, 19,119.63 and 7,567.20 is: 10,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.87 : 19,119.63 = 7,567.20 : x
  2. Step 2: Convert to fraction form
    13,854.87/19,119.63 = 7,567.20/x
  3. Step 3: Cross multiply
    13,854.87x = 19,119.63 × 7,567.20
  4. Step 4: Simplify right side
    13,854.87x = 144,682,064.14
  5. Step 5: Solve for x
    x = 144,682,064.14/13,854.87
  6. Step 6: Final answer
    x = 10,442.69

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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.