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Finding the Fourth Proportional to 16,188, 22,339.44 and 9,116.16

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Solution

The fourth proportional to 16,188, 22,339.44 and 9,116.16 is: 12,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188 : 22,339.44 = 9,116.16 : x
  2. Step 2: Convert to fraction form
    16,188/22,339.44 = 9,116.16/x
  3. Step 3: Cross multiply
    16,188x = 22,339.44 × 9,116.16
  4. Step 4: Simplify right side
    16,188x = 203,649,909.35
  5. Step 5: Solve for x
    x = 203,649,909.35/16,188
  6. Step 6: Final answer
    x = 12,580.30

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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.