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Finding the Fourth Proportional to 13,856.72, 19,121.36 and 7,569.08

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Solution

The fourth proportional to 13,856.72, 19,121.36 and 7,569.08 is: 10,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.72 : 19,121.36 = 7,569.08 : x
  2. Step 2: Convert to fraction form
    13,856.72/19,121.36 = 7,569.08/x
  3. Step 3: Cross multiply
    13,856.72x = 19,121.36 × 7,569.08
  4. Step 4: Simplify right side
    13,856.72x = 144,731,103.55
  5. Step 5: Solve for x
    x = 144,731,103.55/13,856.72
  6. Step 6: Final answer
    x = 10,444.83

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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.