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Finding the Fourth Proportional to 16,074.10, 22,182.78 and 9,000.46

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Solution

The fourth proportional to 16,074.10, 22,182.78 and 9,000.46 is: 12,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.10 : 22,182.78 = 9,000.46 : x
  2. Step 2: Convert to fraction form
    16,074.10/22,182.78 = 9,000.46/x
  3. Step 3: Cross multiply
    16,074.10x = 22,182.78 × 9,000.46
  4. Step 4: Simplify right side
    16,074.10x = 199,655,224.08
  5. Step 5: Solve for x
    x = 199,655,224.08/16,074.10
  6. Step 6: Final answer
    x = 12,420.93

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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.