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Finding the Fourth Proportional to 19,585.80, 29,375.66 and 6,438.08

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Solution

The fourth proportional to 19,585.80, 29,375.66 and 6,438.08 is: 9,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.80 : 29,375.66 = 6,438.08 : x
  2. Step 2: Convert to fraction form
    19,585.80/29,375.66 = 6,438.08/x
  3. Step 3: Cross multiply
    19,585.80x = 29,375.66 × 6,438.08
  4. Step 4: Simplify right side
    19,585.80x = 189,122,670.06
  5. Step 5: Solve for x
    x = 189,122,670.06/19,585.80
  6. Step 6: Final answer
    x = 9,656.11

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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.