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Finding the Fourth Proportional to 16,144.86, 22,280.48 and 9,071.14

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Solution

The fourth proportional to 16,144.86, 22,280.48 and 9,071.14 is: 12,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.86 : 22,280.48 = 9,071.14 : x
  2. Step 2: Convert to fraction form
    16,144.86/22,280.48 = 9,071.14/x
  3. Step 3: Cross multiply
    16,144.86x = 22,280.48 × 9,071.14
  4. Step 4: Simplify right side
    16,144.86x = 202,109,353.35
  5. Step 5: Solve for x
    x = 202,109,353.35/16,144.86
  6. Step 6: Final answer
    x = 12,518.50

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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.