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Finding the Fourth Proportional to 14,296.23, 19,722.15 and 9,262.15

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Solution

The fourth proportional to 14,296.23, 19,722.15 and 9,262.15 is: 12,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.23 : 19,722.15 = 9,262.15 : x
  2. Step 2: Convert to fraction form
    14,296.23/19,722.15 = 9,262.15/x
  3. Step 3: Cross multiply
    14,296.23x = 19,722.15 × 9,262.15
  4. Step 4: Simplify right side
    14,296.23x = 182,669,436.17
  5. Step 5: Solve for x
    x = 182,669,436.17/14,296.23
  6. Step 6: Final answer
    x = 12,777.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.