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Finding the Fourth Proportional to 16,198.29, 22,354.16 and 9,484.52

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Solution

The fourth proportional to 16,198.29, 22,354.16 and 9,484.52 is: 13,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.29 : 22,354.16 = 9,484.52 : x
  2. Step 2: Convert to fraction form
    16,198.29/22,354.16 = 9,484.52/x
  3. Step 3: Cross multiply
    16,198.29x = 22,354.16 × 9,484.52
  4. Step 4: Simplify right side
    16,198.29x = 212,018,318.41
  5. Step 5: Solve for x
    x = 212,018,318.41/16,198.29
  6. Step 6: Final answer
    x = 13,088.93

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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.