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Finding the Fourth Proportional to 16,538.84, 22,823.52 and 8,985.12

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Solution

The fourth proportional to 16,538.84, 22,823.52 and 8,985.12 is: 12,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.84 : 22,823.52 = 8,985.12 : x
  2. Step 2: Convert to fraction form
    16,538.84/22,823.52 = 8,985.12/x
  3. Step 3: Cross multiply
    16,538.84x = 22,823.52 × 8,985.12
  4. Step 4: Simplify right side
    16,538.84x = 205,072,066.02
  5. Step 5: Solve for x
    x = 205,072,066.02/16,538.84
  6. Step 6: Final answer
    x = 12,399.42

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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.