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Finding the Fourth Proportional to 16,758.65, 23,127.12 and 9,205.15

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Solution

The fourth proportional to 16,758.65, 23,127.12 and 9,205.15 is: 12,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.65 : 23,127.12 = 9,205.15 : x
  2. Step 2: Convert to fraction form
    16,758.65/23,127.12 = 9,205.15/x
  3. Step 3: Cross multiply
    16,758.65x = 23,127.12 × 9,205.15
  4. Step 4: Simplify right side
    16,758.65x = 212,888,666.49
  5. Step 5: Solve for x
    x = 212,888,666.49/16,758.65
  6. Step 6: Final answer
    x = 12,703.21

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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.