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Finding the Fourth Proportional to 16,431.65, 22,675.70 and 8,878.00

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Solution

The fourth proportional to 16,431.65, 22,675.70 and 8,878.00 is: 12,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.65 : 22,675.70 = 8,878.00 : x
  2. Step 2: Convert to fraction form
    16,431.65/22,675.70 = 8,878.00/x
  3. Step 3: Cross multiply
    16,431.65x = 22,675.70 × 8,878.00
  4. Step 4: Simplify right side
    16,431.65x = 201,314,758.91
  5. Step 5: Solve for x
    x = 201,314,758.91/16,431.65
  6. Step 6: Final answer
    x = 12,251.64

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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.