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Finding the Fourth Proportional to 14,102.09, 21,146.90 and 4,239.48

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Solution

The fourth proportional to 14,102.09, 21,146.90 and 4,239.48 is: 6,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.09 : 21,146.90 = 4,239.48 : x
  2. Step 2: Convert to fraction form
    14,102.09/21,146.90 = 4,239.48/x
  3. Step 3: Cross multiply
    14,102.09x = 21,146.90 × 4,239.48
  4. Step 4: Simplify right side
    14,102.09x = 89,651,859.61
  5. Step 5: Solve for x
    x = 89,651,859.61/14,102.09
  6. Step 6: Final answer
    x = 6,357.35

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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.