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Finding the Fourth Proportional to 26,152.69, 39,216.71 and 9,500.98

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Solution

The fourth proportional to 26,152.69, 39,216.71 and 9,500.98 is: 14,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,152.69 : 39,216.71 = 9,500.98 : x
  2. Step 2: Convert to fraction form
    26,152.69/39,216.71 = 9,500.98/x
  3. Step 3: Cross multiply
    26,152.69x = 39,216.71 × 9,500.98
  4. Step 4: Simplify right side
    26,152.69x = 372,597,177.38
  5. Step 5: Solve for x
    x = 372,597,177.38/26,152.69
  6. Step 6: Final answer
    x = 14,246.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.