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Finding the Fourth Proportional to 14,206.01, 21,312.09 and 5,440.92

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Solution

The fourth proportional to 14,206.01, 21,312.09 and 5,440.92 is: 8,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.01 : 21,312.09 = 5,440.92 : x
  2. Step 2: Convert to fraction form
    14,206.01/21,312.09 = 5,440.92/x
  3. Step 3: Cross multiply
    14,206.01x = 21,312.09 × 5,440.92
  4. Step 4: Simplify right side
    14,206.01x = 115,957,401.38
  5. Step 5: Solve for x
    x = 115,957,401.38/14,206.01
  6. Step 6: Final answer
    x = 8,162.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.