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Finding the Fourth Proportional to 19,770.59, 29,655.95 and 7,285.21

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Solution

The fourth proportional to 19,770.59, 29,655.95 and 7,285.21 is: 10,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.59 : 29,655.95 = 7,285.21 : x
  2. Step 2: Convert to fraction form
    19,770.59/29,655.95 = 7,285.21/x
  3. Step 3: Cross multiply
    19,770.59x = 29,655.95 × 7,285.21
  4. Step 4: Simplify right side
    19,770.59x = 216,049,712.93
  5. Step 5: Solve for x
    x = 216,049,712.93/19,770.59
  6. Step 6: Final answer
    x = 10,927.83

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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.