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Finding the Fourth Proportional to 21,108.30, 31,649.88 and 7,064.92

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Solution

The fourth proportional to 21,108.30, 31,649.88 and 7,064.92 is: 10,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.30 : 31,649.88 = 7,064.92 : x
  2. Step 2: Convert to fraction form
    21,108.30/31,649.88 = 7,064.92/x
  3. Step 3: Cross multiply
    21,108.30x = 31,649.88 × 7,064.92
  4. Step 4: Simplify right side
    21,108.30x = 223,603,870.21
  5. Step 5: Solve for x
    x = 223,603,870.21/21,108.30
  6. Step 6: Final answer
    x = 10,593.17

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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.