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Finding the Fourth Proportional to 16,408.65, 22,641.87 and 9,335.19

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Solution

The fourth proportional to 16,408.65, 22,641.87 and 9,335.19 is: 12,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.65 : 22,641.87 = 9,335.19 : x
  2. Step 2: Convert to fraction form
    16,408.65/22,641.87 = 9,335.19/x
  3. Step 3: Cross multiply
    16,408.65x = 22,641.87 × 9,335.19
  4. Step 4: Simplify right side
    16,408.65x = 211,366,158.41
  5. Step 5: Solve for x
    x = 211,366,158.41/16,408.65
  6. Step 6: Final answer
    x = 12,881.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.