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Finding the Fourth Proportional to 13,259.28, 19,881.72 and 8,578.64

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Solution

The fourth proportional to 13,259.28, 19,881.72 and 8,578.64 is: 12,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.28 : 19,881.72 = 8,578.64 : x
  2. Step 2: Convert to fraction form
    13,259.28/19,881.72 = 8,578.64/x
  3. Step 3: Cross multiply
    13,259.28x = 19,881.72 × 8,578.64
  4. Step 4: Simplify right side
    13,259.28x = 170,558,118.46
  5. Step 5: Solve for x
    x = 170,558,118.46/13,259.28
  6. Step 6: Final answer
    x = 12,863.30

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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.