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Finding the Fourth Proportional to 19,548.64, 29,323.01 and 13,731.22

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Solution

The fourth proportional to 19,548.64, 29,323.01 and 13,731.22 is: 20,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.64 : 29,323.01 = 13,731.22 : x
  2. Step 2: Convert to fraction form
    19,548.64/29,323.01 = 13,731.22/x
  3. Step 3: Cross multiply
    19,548.64x = 29,323.01 × 13,731.22
  4. Step 4: Simplify right side
    19,548.64x = 402,640,701.37
  5. Step 5: Solve for x
    x = 402,640,701.37/19,548.64
  6. Step 6: Final answer
    x = 20,596.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.