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Finding the Fourth Proportional to 16,538.67, 22,823.26 and 8,984.93

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Solution

The fourth proportional to 16,538.67, 22,823.26 and 8,984.93 is: 12,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.67 : 22,823.26 = 8,984.93 : x
  2. Step 2: Convert to fraction form
    16,538.67/22,823.26 = 8,984.93/x
  3. Step 3: Cross multiply
    16,538.67x = 22,823.26 × 8,984.93
  4. Step 4: Simplify right side
    16,538.67x = 205,065,393.47
  5. Step 5: Solve for x
    x = 205,065,393.47/16,538.67
  6. Step 6: Final answer
    x = 12,399.15

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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.