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Finding the Fourth Proportional to 21,273.40, 31,910.10 and 7,419.16

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Solution

The fourth proportional to 21,273.40, 31,910.10 and 7,419.16 is: 11,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273.40 : 31,910.10 = 7,419.16 : x
  2. Step 2: Convert to fraction form
    21,273.40/31,910.10 = 7,419.16/x
  3. Step 3: Cross multiply
    21,273.40x = 31,910.10 × 7,419.16
  4. Step 4: Simplify right side
    21,273.40x = 236,746,137.52
  5. Step 5: Solve for x
    x = 236,746,137.52/21,273.40
  6. Step 6: Final answer
    x = 11,128.74

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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.