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Finding the Fourth Proportional to 14,704.52, 20,278.40 and 11,342.00

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Solution

The fourth proportional to 14,704.52, 20,278.40 and 11,342.00 is: 15,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.52 : 20,278.40 = 11,342.00 : x
  2. Step 2: Convert to fraction form
    14,704.52/20,278.40 = 11,342.00/x
  3. Step 3: Cross multiply
    14,704.52x = 20,278.40 × 11,342.00
  4. Step 4: Simplify right side
    14,704.52x = 229,997,606.79
  5. Step 5: Solve for x
    x = 229,997,606.79/14,704.52
  6. Step 6: Final answer
    x = 15,641.29

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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.