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Finding the Fourth Proportional to 21,354.16, 31,989.60 and 13,013.50

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Solution

The fourth proportional to 21,354.16, 31,989.60 and 13,013.50 is: 19,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.16 : 31,989.60 = 13,013.50 : x
  2. Step 2: Convert to fraction form
    21,354.16/31,989.60 = 13,013.50/x
  3. Step 3: Cross multiply
    21,354.16x = 31,989.60 × 13,013.50
  4. Step 4: Simplify right side
    21,354.16x = 416,296,659.60
  5. Step 5: Solve for x
    x = 416,296,659.60/21,354.16
  6. Step 6: Final answer
    x = 19,494.87

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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.