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Finding the Fourth Proportional to 13,854.88, 19,119.62 and 7,567.26

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Solution

The fourth proportional to 13,854.88, 19,119.62 and 7,567.26 is: 10,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.88 : 19,119.62 = 7,567.26 : x
  2. Step 2: Convert to fraction form
    13,854.88/19,119.62 = 7,567.26/x
  3. Step 3: Cross multiply
    13,854.88x = 19,119.62 × 7,567.26
  4. Step 4: Simplify right side
    13,854.88x = 144,683,135.64
  5. Step 5: Solve for x
    x = 144,683,135.64/13,854.88
  6. Step 6: Final answer
    x = 10,442.76

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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.