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Finding the Fourth Proportional to 16,117.88, 22,243.80 and 8,948.16

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Solution

The fourth proportional to 16,117.88, 22,243.80 and 8,948.16 is: 12,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.88 : 22,243.80 = 8,948.16 : x
  2. Step 2: Convert to fraction form
    16,117.88/22,243.80 = 8,948.16/x
  3. Step 3: Cross multiply
    16,117.88x = 22,243.80 × 8,948.16
  4. Step 4: Simplify right side
    16,117.88x = 199,041,081.41
  5. Step 5: Solve for x
    x = 199,041,081.41/16,117.88
  6. Step 6: Final answer
    x = 12,349.09

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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.