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Finding the Fourth Proportional to 16,105.32, 22,225.06 and 9,031.72

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Solution

The fourth proportional to 16,105.32, 22,225.06 and 9,031.72 is: 12,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.32 : 22,225.06 = 9,031.72 : x
  2. Step 2: Convert to fraction form
    16,105.32/22,225.06 = 9,031.72/x
  3. Step 3: Cross multiply
    16,105.32x = 22,225.06 × 9,031.72
  4. Step 4: Simplify right side
    16,105.32x = 200,730,518.90
  5. Step 5: Solve for x
    x = 200,730,518.90/16,105.32
  6. Step 6: Final answer
    x = 12,463.62

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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.