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Finding the Fourth Proportional to 12,215.76, 16,856.48 and 9,031.04

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Solution

The fourth proportional to 12,215.76, 16,856.48 and 9,031.04 is: 12,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.76 : 16,856.48 = 9,031.04 : x
  2. Step 2: Convert to fraction form
    12,215.76/16,856.48 = 9,031.04/x
  3. Step 3: Cross multiply
    12,215.76x = 16,856.48 × 9,031.04
  4. Step 4: Simplify right side
    12,215.76x = 152,231,545.14
  5. Step 5: Solve for x
    x = 152,231,545.14/12,215.76
  6. Step 6: Final answer
    x = 12,461.90

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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.