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Finding the Fourth Proportional to 14,425.72, 19,907.85 and 8,138.50

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Solution

The fourth proportional to 14,425.72, 19,907.85 and 8,138.50 is: 11,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.72 : 19,907.85 = 8,138.50 : x
  2. Step 2: Convert to fraction form
    14,425.72/19,907.85 = 8,138.50/x
  3. Step 3: Cross multiply
    14,425.72x = 19,907.85 × 8,138.50
  4. Step 4: Simplify right side
    14,425.72x = 162,020,037.23
  5. Step 5: Solve for x
    x = 162,020,037.23/14,425.72
  6. Step 6: Final answer
    x = 11,231.33

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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.