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Finding the Fourth Proportional to 16,206.16, 22,364.16 and 9,132.58

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Solution

The fourth proportional to 16,206.16, 22,364.16 and 9,132.58 is: 12,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.16 : 22,364.16 = 9,132.58 : x
  2. Step 2: Convert to fraction form
    16,206.16/22,364.16 = 9,132.58/x
  3. Step 3: Cross multiply
    16,206.16x = 22,364.16 × 9,132.58
  4. Step 4: Simplify right side
    16,206.16x = 204,242,480.33
  5. Step 5: Solve for x
    x = 204,242,480.33/16,206.16
  6. Step 6: Final answer
    x = 12,602.77

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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.