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Finding the Fourth Proportional to 14,353.50, 21,517.90 and 4,992.30

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Solution

The fourth proportional to 14,353.50, 21,517.90 and 4,992.30 is: 7,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.50 : 21,517.90 = 4,992.30 : x
  2. Step 2: Convert to fraction form
    14,353.50/21,517.90 = 4,992.30/x
  3. Step 3: Cross multiply
    14,353.50x = 21,517.90 × 4,992.30
  4. Step 4: Simplify right side
    14,353.50x = 107,423,812.17
  5. Step 5: Solve for x
    x = 107,423,812.17/14,353.50
  6. Step 6: Final answer
    x = 7,484.15

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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.