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Finding the Fourth Proportional to 16,144.76, 22,280.76 and 9,071.18

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Solution

The fourth proportional to 16,144.76, 22,280.76 and 9,071.18 is: 12,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.76 : 22,280.76 = 9,071.18 : x
  2. Step 2: Convert to fraction form
    16,144.76/22,280.76 = 9,071.18/x
  3. Step 3: Cross multiply
    16,144.76x = 22,280.76 × 9,071.18
  4. Step 4: Simplify right side
    16,144.76x = 202,112,784.50
  5. Step 5: Solve for x
    x = 202,112,784.50/16,144.76
  6. Step 6: Final answer
    x = 12,518.79

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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.