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Finding the Fourth Proportional to 19,546.74, 29,328.39 and 9,686.19

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Solution

The fourth proportional to 19,546.74, 29,328.39 and 9,686.19 is: 14,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.74 : 29,328.39 = 9,686.19 : x
  2. Step 2: Convert to fraction form
    19,546.74/29,328.39 = 9,686.19/x
  3. Step 3: Cross multiply
    19,546.74x = 29,328.39 × 9,686.19
  4. Step 4: Simplify right side
    19,546.74x = 284,080,357.93
  5. Step 5: Solve for x
    x = 284,080,357.93/19,546.74
  6. Step 6: Final answer
    x = 14,533.39

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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.