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Finding the Fourth Proportional to 19,721.40, 29,594.58 and 10,493.88

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Solution

The fourth proportional to 19,721.40, 29,594.58 and 10,493.88 is: 15,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721.40 : 29,594.58 = 10,493.88 : x
  2. Step 2: Convert to fraction form
    19,721.40/29,594.58 = 10,493.88/x
  3. Step 3: Cross multiply
    19,721.40x = 29,594.58 × 10,493.88
  4. Step 4: Simplify right side
    19,721.40x = 310,561,971.17
  5. Step 5: Solve for x
    x = 310,561,971.17/19,721.40
  6. Step 6: Final answer
    x = 15,747.46

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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.