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Finding the Fourth Proportional to 19,384.40, 29,077.80 and 6,233.24

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Solution

The fourth proportional to 19,384.40, 29,077.80 and 6,233.24 is: 9,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.40 : 29,077.80 = 6,233.24 : x
  2. Step 2: Convert to fraction form
    19,384.40/29,077.80 = 6,233.24/x
  3. Step 3: Cross multiply
    19,384.40x = 29,077.80 × 6,233.24
  4. Step 4: Simplify right side
    19,384.40x = 181,248,906.07
  5. Step 5: Solve for x
    x = 181,248,906.07/19,384.40
  6. Step 6: Final answer
    x = 9,350.25

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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.