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Finding the Fourth Proportional to 19,527.26, 29,296.58 and 7,047

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Solution

The fourth proportional to 19,527.26, 29,296.58 and 7,047 is: 10,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.26 : 29,296.58 = 7,047 : x
  2. Step 2: Convert to fraction form
    19,527.26/29,296.58 = 7,047/x
  3. Step 3: Cross multiply
    19,527.26x = 29,296.58 × 7,047
  4. Step 4: Simplify right side
    19,527.26x = 206,452,964.03
  5. Step 5: Solve for x
    x = 206,452,964.03/19,527.26
  6. Step 6: Final answer
    x = 10,572.55

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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.