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Finding the Fourth Proportional to 19,561.56, 29,344.80 and 6,415.26

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Solution

The fourth proportional to 19,561.56, 29,344.80 and 6,415.26 is: 9,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.56 : 29,344.80 = 6,415.26 : x
  2. Step 2: Convert to fraction form
    19,561.56/29,344.80 = 6,415.26/x
  3. Step 3: Cross multiply
    19,561.56x = 29,344.80 × 6,415.26
  4. Step 4: Simplify right side
    19,561.56x = 188,254,521.65
  5. Step 5: Solve for x
    x = 188,254,521.65/19,561.56
  6. Step 6: Final answer
    x = 9,623.70

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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.