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Finding the Fourth Proportional to 19,888.28, 29,830.38 and 6,740.31

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Solution

The fourth proportional to 19,888.28, 29,830.38 and 6,740.31 is: 10,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888.28 : 29,830.38 = 6,740.31 : x
  2. Step 2: Convert to fraction form
    19,888.28/29,830.38 = 6,740.31/x
  3. Step 3: Cross multiply
    19,888.28x = 29,830.38 × 6,740.31
  4. Step 4: Simplify right side
    19,888.28x = 201,066,095.21
  5. Step 5: Solve for x
    x = 201,066,095.21/19,888.28
  6. Step 6: Final answer
    x = 10,109.78

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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.