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Finding the Fourth Proportional to 12,906.16, 19,322.52 and 8,510.20

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Solution

The fourth proportional to 12,906.16, 19,322.52 and 8,510.20 is: 12,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.16 : 19,322.52 = 8,510.20 : x
  2. Step 2: Convert to fraction form
    12,906.16/19,322.52 = 8,510.20/x
  3. Step 3: Cross multiply
    12,906.16x = 19,322.52 × 8,510.20
  4. Step 4: Simplify right side
    12,906.16x = 164,438,509.70
  5. Step 5: Solve for x
    x = 164,438,509.70/12,906.16
  6. Step 6: Final answer
    x = 12,741.09

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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.