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Finding the Fourth Proportional to 14,225.50, 19,631.08 and 8,257.72

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Solution

The fourth proportional to 14,225.50, 19,631.08 and 8,257.72 is: 11,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.50 : 19,631.08 = 8,257.72 : x
  2. Step 2: Convert to fraction form
    14,225.50/19,631.08 = 8,257.72/x
  3. Step 3: Cross multiply
    14,225.50x = 19,631.08 × 8,257.72
  4. Step 4: Simplify right side
    14,225.50x = 162,107,920.65
  5. Step 5: Solve for x
    x = 162,107,920.65/14,225.50
  6. Step 6: Final answer
    x = 11,395.59

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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.