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Finding the Fourth Proportional to 16,170.16, 22,320.72 and 10,205.72

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Solution

The fourth proportional to 16,170.16, 22,320.72 and 10,205.72 is: 14,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.16 : 22,320.72 = 10,205.72 : x
  2. Step 2: Convert to fraction form
    16,170.16/22,320.72 = 10,205.72/x
  3. Step 3: Cross multiply
    16,170.16x = 22,320.72 × 10,205.72
  4. Step 4: Simplify right side
    16,170.16x = 227,799,018.52
  5. Step 5: Solve for x
    x = 227,799,018.52/16,170.16
  6. Step 6: Final answer
    x = 14,087.62

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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.