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Finding the Fourth Proportional to 16,184.35, 22,332.34 and 9,109.41

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Solution

The fourth proportional to 16,184.35, 22,332.34 and 9,109.41 is: 12,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.35 : 22,332.34 = 9,109.41 : x
  2. Step 2: Convert to fraction form
    16,184.35/22,332.34 = 9,109.41/x
  3. Step 3: Cross multiply
    16,184.35x = 22,332.34 × 9,109.41
  4. Step 4: Simplify right side
    16,184.35x = 203,434,441.32
  5. Step 5: Solve for x
    x = 203,434,441.32/16,184.35
  6. Step 6: Final answer
    x = 12,569.82

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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.