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Finding the Fourth Proportional to 16,334.40, 22,542.12 and 9,260.40

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Solution

The fourth proportional to 16,334.40, 22,542.12 and 9,260.40 is: 12,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.40 : 22,542.12 = 9,260.40 : x
  2. Step 2: Convert to fraction form
    16,334.40/22,542.12 = 9,260.40/x
  3. Step 3: Cross multiply
    16,334.40x = 22,542.12 × 9,260.40
  4. Step 4: Simplify right side
    16,334.40x = 208,749,048.05
  5. Step 5: Solve for x
    x = 208,749,048.05/16,334.40
  6. Step 6: Final answer
    x = 12,779.72

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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.