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Finding the Fourth Proportional to 21,749.38, 30,013.14 and 12,318.01

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Solution

The fourth proportional to 21,749.38, 30,013.14 and 12,318.01 is: 16,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.38 : 30,013.14 = 12,318.01 : x
  2. Step 2: Convert to fraction form
    21,749.38/30,013.14 = 12,318.01/x
  3. Step 3: Cross multiply
    21,749.38x = 30,013.14 × 12,318.01
  4. Step 4: Simplify right side
    21,749.38x = 369,702,158.65
  5. Step 5: Solve for x
    x = 369,702,158.65/21,749.38
  6. Step 6: Final answer
    x = 16,998.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.