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Finding the Fourth Proportional to 16,406.25, 22,641.36 and 9,238.63

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Solution

The fourth proportional to 16,406.25, 22,641.36 and 9,238.63 is: 12,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.25 : 22,641.36 = 9,238.63 : x
  2. Step 2: Convert to fraction form
    16,406.25/22,641.36 = 9,238.63/x
  3. Step 3: Cross multiply
    16,406.25x = 22,641.36 × 9,238.63
  4. Step 4: Simplify right side
    16,406.25x = 209,175,147.74
  5. Step 5: Solve for x
    x = 209,175,147.74/16,406.25
  6. Step 6: Final answer
    x = 12,749.72

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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.