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Finding the Fourth Proportional to 12,521.68, 17,280.11 and 6,856.34

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Solution

The fourth proportional to 12,521.68, 17,280.11 and 6,856.34 is: 9,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.68 : 17,280.11 = 6,856.34 : x
  2. Step 2: Convert to fraction form
    12,521.68/17,280.11 = 6,856.34/x
  3. Step 3: Cross multiply
    12,521.68x = 17,280.11 × 6,856.34
  4. Step 4: Simplify right side
    12,521.68x = 118,478,240.14
  5. Step 5: Solve for x
    x = 118,478,240.14/12,521.68
  6. Step 6: Final answer
    x = 9,461.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.