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Finding the Fourth Proportional to 14,777.31, 20,392.67 and 9,472.12

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Solution

The fourth proportional to 14,777.31, 20,392.67 and 9,472.12 is: 13,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.31 : 20,392.67 = 9,472.12 : x
  2. Step 2: Convert to fraction form
    14,777.31/20,392.67 = 9,472.12/x
  3. Step 3: Cross multiply
    14,777.31x = 20,392.67 × 9,472.12
  4. Step 4: Simplify right side
    14,777.31x = 193,161,790.06
  5. Step 5: Solve for x
    x = 193,161,790.06/14,777.31
  6. Step 6: Final answer
    x = 13,071.52

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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.