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Finding the Fourth Proportional to 19,770.21, 29,655.65 and 7,283.80

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Solution

The fourth proportional to 19,770.21, 29,655.65 and 7,283.80 is: 10,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.21 : 29,655.65 = 7,283.80 : x
  2. Step 2: Convert to fraction form
    19,770.21/29,655.65 = 7,283.80/x
  3. Step 3: Cross multiply
    19,770.21x = 29,655.65 × 7,283.80
  4. Step 4: Simplify right side
    19,770.21x = 216,005,865.42
  5. Step 5: Solve for x
    x = 216,005,865.42/19,770.21
  6. Step 6: Final answer
    x = 10,925.83

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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.