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Finding the Fourth Proportional to 21,580.28, 32,359.38 and 9,883.48

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Solution

The fourth proportional to 21,580.28, 32,359.38 and 9,883.48 is: 14,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.28 : 32,359.38 = 9,883.48 : x
  2. Step 2: Convert to fraction form
    21,580.28/32,359.38 = 9,883.48/x
  3. Step 3: Cross multiply
    21,580.28x = 32,359.38 × 9,883.48
  4. Step 4: Simplify right side
    21,580.28x = 319,823,123.25
  5. Step 5: Solve for x
    x = 319,823,123.25/21,580.28
  6. Step 6: Final answer
    x = 14,820.16

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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.