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Finding the Fourth Proportional to 16,538.29, 22,823.02 and 8,984.77

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Solution

The fourth proportional to 16,538.29, 22,823.02 and 8,984.77 is: 12,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.29 : 22,823.02 = 8,984.77 : x
  2. Step 2: Convert to fraction form
    16,538.29/22,823.02 = 8,984.77/x
  3. Step 3: Cross multiply
    16,538.29x = 22,823.02 × 8,984.77
  4. Step 4: Simplify right side
    16,538.29x = 205,059,585.41
  5. Step 5: Solve for x
    x = 205,059,585.41/16,538.29
  6. Step 6: Final answer
    x = 12,399.08

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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.