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Finding the Fourth Proportional to 12,196.16, 16,840.24 and 9,359

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Solution

The fourth proportional to 12,196.16, 16,840.24 and 9,359 is: 12,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.16 : 16,840.24 = 9,359 : x
  2. Step 2: Convert to fraction form
    12,196.16/16,840.24 = 9,359/x
  3. Step 3: Cross multiply
    12,196.16x = 16,840.24 × 9,359
  4. Step 4: Simplify right side
    12,196.16x = 157,607,806.16
  5. Step 5: Solve for x
    x = 157,607,806.16/12,196.16
  6. Step 6: Final answer
    x = 12,922.74

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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.