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Finding the Fourth Proportional to 16,206.32, 22,364.72 and 9,132.99

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Solution

The fourth proportional to 16,206.32, 22,364.72 and 9,132.99 is: 12,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.32 : 22,364.72 = 9,132.99 : x
  2. Step 2: Convert to fraction form
    16,206.32/22,364.72 = 9,132.99/x
  3. Step 3: Cross multiply
    16,206.32x = 22,364.72 × 9,132.99
  4. Step 4: Simplify right side
    16,206.32x = 204,256,718.45
  5. Step 5: Solve for x
    x = 204,256,718.45/16,206.32
  6. Step 6: Final answer
    x = 12,603.53

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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.