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Finding the Fourth Proportional to 13,854.30, 19,119.03 and 7,566.66

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Solution

The fourth proportional to 13,854.30, 19,119.03 and 7,566.66 is: 10,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.30 : 19,119.03 = 7,566.66 : x
  2. Step 2: Convert to fraction form
    13,854.30/19,119.03 = 7,566.66/x
  3. Step 3: Cross multiply
    13,854.30x = 19,119.03 × 7,566.66
  4. Step 4: Simplify right side
    13,854.30x = 144,667,199.54
  5. Step 5: Solve for x
    x = 144,667,199.54/13,854.30
  6. Step 6: Final answer
    x = 10,442.04

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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.