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Finding the Fourth Proportional to 13,141.64, 19,717.91 and 7,886.76

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Solution

The fourth proportional to 13,141.64, 19,717.91 and 7,886.76 is: 11,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.64 : 19,717.91 = 7,886.76 : x
  2. Step 2: Convert to fraction form
    13,141.64/19,717.91 = 7,886.76/x
  3. Step 3: Cross multiply
    13,141.64x = 19,717.91 × 7,886.76
  4. Step 4: Simplify right side
    13,141.64x = 155,510,423.87
  5. Step 5: Solve for x
    x = 155,510,423.87/13,141.64
  6. Step 6: Final answer
    x = 11,833.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.