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Finding the Fourth Proportional to 12,881.52, 19,322.23 and 8,497.90

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Solution

The fourth proportional to 12,881.52, 19,322.23 and 8,497.90 is: 12,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.52 : 19,322.23 = 8,497.90 : x
  2. Step 2: Convert to fraction form
    12,881.52/19,322.23 = 8,497.90/x
  3. Step 3: Cross multiply
    12,881.52x = 19,322.23 × 8,497.90
  4. Step 4: Simplify right side
    12,881.52x = 164,198,378.32
  5. Step 5: Solve for x
    x = 164,198,378.32/12,881.52
  6. Step 6: Final answer
    x = 12,746.82

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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.