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Finding the Fourth Proportional to 19,570.36, 29,358.80 and 6,419.20

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Solution

The fourth proportional to 19,570.36, 29,358.80 and 6,419.20 is: 9,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.36 : 29,358.80 = 6,419.20 : x
  2. Step 2: Convert to fraction form
    19,570.36/29,358.80 = 6,419.20/x
  3. Step 3: Cross multiply
    19,570.36x = 29,358.80 × 6,419.20
  4. Step 4: Simplify right side
    19,570.36x = 188,460,008.96
  5. Step 5: Solve for x
    x = 188,460,008.96/19,570.36
  6. Step 6: Final answer
    x = 9,629.87

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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.