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Finding the Fourth Proportional to 19,643.86, 29,446.54 and 6,487.44

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Solution

The fourth proportional to 19,643.86, 29,446.54 and 6,487.44 is: 9,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.86 : 29,446.54 = 6,487.44 : x
  2. Step 2: Convert to fraction form
    19,643.86/29,446.54 = 6,487.44/x
  3. Step 3: Cross multiply
    19,643.86x = 29,446.54 × 6,487.44
  4. Step 4: Simplify right side
    19,643.86x = 191,032,661.46
  5. Step 5: Solve for x
    x = 191,032,661.46/19,643.86
  6. Step 6: Final answer
    x = 9,724.80

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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.