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Finding the Fourth Proportional to 19,789.60, 29,681.16 and 7,315.46

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Solution

The fourth proportional to 19,789.60, 29,681.16 and 7,315.46 is: 10,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,789.60 : 29,681.16 = 7,315.46 : x
  2. Step 2: Convert to fraction form
    19,789.60/29,681.16 = 7,315.46/x
  3. Step 3: Cross multiply
    19,789.60x = 29,681.16 × 7,315.46
  4. Step 4: Simplify right side
    19,789.60x = 217,131,338.73
  5. Step 5: Solve for x
    x = 217,131,338.73/19,789.60
  6. Step 6: Final answer
    x = 10,971.99

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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.