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Finding the Fourth Proportional to 14,294.19, 21,448.59 and 6,806.22

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Solution

The fourth proportional to 14,294.19, 21,448.59 and 6,806.22 is: 10,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.19 : 21,448.59 = 6,806.22 : x
  2. Step 2: Convert to fraction form
    14,294.19/21,448.59 = 6,806.22/x
  3. Step 3: Cross multiply
    14,294.19x = 21,448.59 × 6,806.22
  4. Step 4: Simplify right side
    14,294.19x = 145,983,822.23
  5. Step 5: Solve for x
    x = 145,983,822.23/14,294.19
  6. Step 6: Final answer
    x = 10,212.81

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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.