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Finding the Fourth Proportional to 14,003.88, 21,005.76 and 4,143.22

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Solution

The fourth proportional to 14,003.88, 21,005.76 and 4,143.22 is: 6,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.88 : 21,005.76 = 4,143.22 : x
  2. Step 2: Convert to fraction form
    14,003.88/21,005.76 = 4,143.22/x
  3. Step 3: Cross multiply
    14,003.88x = 21,005.76 × 4,143.22
  4. Step 4: Simplify right side
    14,003.88x = 87,031,484.95
  5. Step 5: Solve for x
    x = 87,031,484.95/14,003.88
  6. Step 6: Final answer
    x = 6,214.81

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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.