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Finding the Fourth Proportional to 19,740.20, 29,538.30 and 14,556.20

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Solution

The fourth proportional to 19,740.20, 29,538.30 and 14,556.20 is: 21,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740.20 : 29,538.30 = 14,556.20 : x
  2. Step 2: Convert to fraction form
    19,740.20/29,538.30 = 14,556.20/x
  3. Step 3: Cross multiply
    19,740.20x = 29,538.30 × 14,556.20
  4. Step 4: Simplify right side
    19,740.20x = 429,965,402.46
  5. Step 5: Solve for x
    x = 429,965,402.46/19,740.20
  6. Step 6: Final answer
    x = 21,781.21

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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.