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Finding the Fourth Proportional to 19,713.56, 29,570.34 and 6,397.70

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Solution

The fourth proportional to 19,713.56, 29,570.34 and 6,397.70 is: 9,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.56 : 29,570.34 = 6,397.70 : x
  2. Step 2: Convert to fraction form
    19,713.56/29,570.34 = 6,397.70/x
  3. Step 3: Cross multiply
    19,713.56x = 29,570.34 × 6,397.70
  4. Step 4: Simplify right side
    19,713.56x = 189,182,164.22
  5. Step 5: Solve for x
    x = 189,182,164.22/19,713.56
  6. Step 6: Final answer
    x = 9,596.55

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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.