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Finding the Fourth Proportional to 14,616.03, 21,908.64 and 6,294.09

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Solution

The fourth proportional to 14,616.03, 21,908.64 and 6,294.09 is: 9,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.03 : 21,908.64 = 6,294.09 : x
  2. Step 2: Convert to fraction form
    14,616.03/21,908.64 = 6,294.09/x
  3. Step 3: Cross multiply
    14,616.03x = 21,908.64 × 6,294.09
  4. Step 4: Simplify right side
    14,616.03x = 137,894,951.94
  5. Step 5: Solve for x
    x = 137,894,951.94/14,616.03
  6. Step 6: Final answer
    x = 9,434.50

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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.