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Finding the Fourth Proportional to 16,138.02, 22,270.50 and 9,064.47

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Solution

The fourth proportional to 16,138.02, 22,270.50 and 9,064.47 is: 12,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.02 : 22,270.50 = 9,064.47 : x
  2. Step 2: Convert to fraction form
    16,138.02/22,270.50 = 9,064.47/x
  3. Step 3: Cross multiply
    16,138.02x = 22,270.50 × 9,064.47
  4. Step 4: Simplify right side
    16,138.02x = 201,870,279.14
  5. Step 5: Solve for x
    x = 201,870,279.14/16,138.02
  6. Step 6: Final answer
    x = 12,508.99

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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.