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Finding the Fourth Proportional to 21,188.48, 31,784.28 and 5,606

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Solution

The fourth proportional to 21,188.48, 31,784.28 and 5,606 is: 8,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.48 : 31,784.28 = 5,606 : x
  2. Step 2: Convert to fraction form
    21,188.48/31,784.28 = 5,606/x
  3. Step 3: Cross multiply
    21,188.48x = 31,784.28 × 5,606
  4. Step 4: Simplify right side
    21,188.48x = 178,182,673.68
  5. Step 5: Solve for x
    x = 178,182,673.68/21,188.48
  6. Step 6: Final answer
    x = 8,409.41

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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.