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Finding the Fourth Proportional to 19,566.08, 29,349.40 and 6,419.44

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Solution

The fourth proportional to 19,566.08, 29,349.40 and 6,419.44 is: 9,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.08 : 29,349.40 = 6,419.44 : x
  2. Step 2: Convert to fraction form
    19,566.08/29,349.40 = 6,419.44/x
  3. Step 3: Cross multiply
    19,566.08x = 29,349.40 × 6,419.44
  4. Step 4: Simplify right side
    19,566.08x = 188,406,712.34
  5. Step 5: Solve for x
    x = 188,406,712.34/19,566.08
  6. Step 6: Final answer
    x = 9,629.25

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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.