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Finding the Fourth Proportional to 14,212.08, 21,309.01 and 5,897.84

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Solution

The fourth proportional to 14,212.08, 21,309.01 and 5,897.84 is: 8,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.08 : 21,309.01 = 5,897.84 : x
  2. Step 2: Convert to fraction form
    14,212.08/21,309.01 = 5,897.84/x
  3. Step 3: Cross multiply
    14,212.08x = 21,309.01 × 5,897.84
  4. Step 4: Simplify right side
    14,212.08x = 125,676,995.50
  5. Step 5: Solve for x
    x = 125,676,995.50/14,212.08
  6. Step 6: Final answer
    x = 8,842.97

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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.