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Finding the Fourth Proportional to 21,188.48, 31,760.04 and 13,399.52

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Solution

The fourth proportional to 21,188.48, 31,760.04 and 13,399.52 is: 20,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.48 : 31,760.04 = 13,399.52 : x
  2. Step 2: Convert to fraction form
    21,188.48/31,760.04 = 13,399.52/x
  3. Step 3: Cross multiply
    21,188.48x = 31,760.04 × 13,399.52
  4. Step 4: Simplify right side
    21,188.48x = 425,569,291.18
  5. Step 5: Solve for x
    x = 425,569,291.18/21,188.48
  6. Step 6: Final answer
    x = 20,084.94

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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.