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Finding the Fourth Proportional to 14,896.99, 22,345.14 and 7,499.46

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Solution

The fourth proportional to 14,896.99, 22,345.14 and 7,499.46 is: 11,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.99 : 22,345.14 = 7,499.46 : x
  2. Step 2: Convert to fraction form
    14,896.99/22,345.14 = 7,499.46/x
  3. Step 3: Cross multiply
    14,896.99x = 22,345.14 × 7,499.46
  4. Step 4: Simplify right side
    14,896.99x = 167,576,446.13
  5. Step 5: Solve for x
    x = 167,576,446.13/14,896.99
  6. Step 6: Final answer
    x = 11,249.02

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Why These Related Problems?

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