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Finding the Fourth Proportional to 19,684.48, 29,518.16 and 5,641.41

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Solution

The fourth proportional to 19,684.48, 29,518.16 and 5,641.41 is: 8,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.48 : 29,518.16 = 5,641.41 : x
  2. Step 2: Convert to fraction form
    19,684.48/29,518.16 = 5,641.41/x
  3. Step 3: Cross multiply
    19,684.48x = 29,518.16 × 5,641.41
  4. Step 4: Simplify right side
    19,684.48x = 166,524,043.01
  5. Step 5: Solve for x
    x = 166,524,043.01/19,684.48
  6. Step 6: Final answer
    x = 8,459.66

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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.