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Finding the Fourth Proportional to 14,400.38, 19,864.94 and 9,916.36

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Solution

The fourth proportional to 14,400.38, 19,864.94 and 9,916.36 is: 13,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.38 : 19,864.94 = 9,916.36 : x
  2. Step 2: Convert to fraction form
    14,400.38/19,864.94 = 9,916.36/x
  3. Step 3: Cross multiply
    14,400.38x = 19,864.94 × 9,916.36
  4. Step 4: Simplify right side
    14,400.38x = 196,987,896.42
  5. Step 5: Solve for x
    x = 196,987,896.42/14,400.38
  6. Step 6: Final answer
    x = 13,679.35

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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.