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Finding the Fourth Proportional to 13,856.32, 19,122.24 and 7,568.74

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Solution

The fourth proportional to 13,856.32, 19,122.24 and 7,568.74 is: 10,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.32 : 19,122.24 = 7,568.74 : x
  2. Step 2: Convert to fraction form
    13,856.32/19,122.24 = 7,568.74/x
  3. Step 3: Cross multiply
    13,856.32x = 19,122.24 × 7,568.74
  4. Step 4: Simplify right side
    13,856.32x = 144,731,262.78
  5. Step 5: Solve for x
    x = 144,731,262.78/13,856.32
  6. Step 6: Final answer
    x = 10,445.14

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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.