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Finding the Fourth Proportional to 14,013.62, 21,020.39 and 4,654.34

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Solution

The fourth proportional to 14,013.62, 21,020.39 and 4,654.34 is: 6,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.62 : 21,020.39 = 4,654.34 : x
  2. Step 2: Convert to fraction form
    14,013.62/21,020.39 = 4,654.34/x
  3. Step 3: Cross multiply
    14,013.62x = 21,020.39 × 4,654.34
  4. Step 4: Simplify right side
    14,013.62x = 97,836,041.99
  5. Step 5: Solve for x
    x = 97,836,041.99/14,013.62
  6. Step 6: Final answer
    x = 6,981.50

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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.