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Finding the Fourth Proportional to 16,276.86, 22,464.14 and 9,203.13

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Solution

The fourth proportional to 16,276.86, 22,464.14 and 9,203.13 is: 12,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.86 : 22,464.14 = 9,203.13 : x
  2. Step 2: Convert to fraction form
    16,276.86/22,464.14 = 9,203.13/x
  3. Step 3: Cross multiply
    16,276.86x = 22,464.14 × 9,203.13
  4. Step 4: Simplify right side
    16,276.86x = 206,740,354.74
  5. Step 5: Solve for x
    x = 206,740,354.74/16,276.86
  6. Step 6: Final answer
    x = 12,701.49

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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.