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Finding the Fourth Proportional to 16,411.74, 22,648.31 and 9,338.16

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Solution

The fourth proportional to 16,411.74, 22,648.31 and 9,338.16 is: 12,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.74 : 22,648.31 = 9,338.16 : x
  2. Step 2: Convert to fraction form
    16,411.74/22,648.31 = 9,338.16/x
  3. Step 3: Cross multiply
    16,411.74x = 22,648.31 × 9,338.16
  4. Step 4: Simplify right side
    16,411.74x = 211,493,542.51
  5. Step 5: Solve for x
    x = 211,493,542.51/16,411.74
  6. Step 6: Final answer
    x = 12,886.72

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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.