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Finding the Fourth Proportional to 21,117.98, 31,671.98 and 7,078.52

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Solution

The fourth proportional to 21,117.98, 31,671.98 and 7,078.52 is: 10,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.98 : 31,671.98 = 7,078.52 : x
  2. Step 2: Convert to fraction form
    21,117.98/31,671.98 = 7,078.52/x
  3. Step 3: Cross multiply
    21,117.98x = 31,671.98 × 7,078.52
  4. Step 4: Simplify right side
    21,117.98x = 224,190,743.87
  5. Step 5: Solve for x
    x = 224,190,743.87/21,117.98
  6. Step 6: Final answer
    x = 10,616.11

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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.