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Finding the Fourth Proportional to 13,868.83, 19,139 and 7,581.21

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Solution

The fourth proportional to 13,868.83, 19,139 and 7,581.21 is: 10,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.83 : 19,139 = 7,581.21 : x
  2. Step 2: Convert to fraction form
    13,868.83/19,139 = 7,581.21/x
  3. Step 3: Cross multiply
    13,868.83x = 19,139 × 7,581.21
  4. Step 4: Simplify right side
    13,868.83x = 145,096,778.19
  5. Step 5: Solve for x
    x = 145,096,778.19/13,868.83
  6. Step 6: Final answer
    x = 10,462.08

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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.