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Finding the Fourth Proportional to 21,456.48, 32,181 and 5,870.40

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Solution

The fourth proportional to 21,456.48, 32,181 and 5,870.40 is: 8,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.48 : 32,181 = 5,870.40 : x
  2. Step 2: Convert to fraction form
    21,456.48/32,181 = 5,870.40/x
  3. Step 3: Cross multiply
    21,456.48x = 32,181 × 5,870.40
  4. Step 4: Simplify right side
    21,456.48x = 188,915,342.40
  5. Step 5: Solve for x
    x = 188,915,342.40/21,456.48
  6. Step 6: Final answer
    x = 8,804.58

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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.