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Finding the Fourth Proportional to 19,570.49, 29,349.60 and 6,419.81

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Solution

The fourth proportional to 19,570.49, 29,349.60 and 6,419.81 is: 9,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.49 : 29,349.60 = 6,419.81 : x
  2. Step 2: Convert to fraction form
    19,570.49/29,349.60 = 6,419.81/x
  3. Step 3: Cross multiply
    19,570.49x = 29,349.60 × 6,419.81
  4. Step 4: Simplify right side
    19,570.49x = 188,418,855.58
  5. Step 5: Solve for x
    x = 188,418,855.58/19,570.49
  6. Step 6: Final answer
    x = 9,627.70

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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.