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Finding the Fourth Proportional to 16,312.08, 22,511.76 and 9,142.08

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Solution

The fourth proportional to 16,312.08, 22,511.76 and 9,142.08 is: 12,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.08 : 22,511.76 = 9,142.08 : x
  2. Step 2: Convert to fraction form
    16,312.08/22,511.76 = 9,142.08/x
  3. Step 3: Cross multiply
    16,312.08x = 22,511.76 × 9,142.08
  4. Step 4: Simplify right side
    16,312.08x = 205,804,310.86
  5. Step 5: Solve for x
    x = 205,804,310.86/16,312.08
  6. Step 6: Final answer
    x = 12,616.68

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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.