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Finding the Fourth Proportional to 13,228.78, 19,812.92 and 8,597.74

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Solution

The fourth proportional to 13,228.78, 19,812.92 and 8,597.74 is: 12,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.78 : 19,812.92 = 8,597.74 : x
  2. Step 2: Convert to fraction form
    13,228.78/19,812.92 = 8,597.74/x
  3. Step 3: Cross multiply
    13,228.78x = 19,812.92 × 8,597.74
  4. Step 4: Simplify right side
    13,228.78x = 170,346,334.80
  5. Step 5: Solve for x
    x = 170,346,334.80/13,228.78
  6. Step 6: Final answer
    x = 12,876.95

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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.