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Finding the Fourth Proportional to 14,548.95, 21,820.34 and 6,649.22

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Solution

The fourth proportional to 14,548.95, 21,820.34 and 6,649.22 is: 9,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.95 : 21,820.34 = 6,649.22 : x
  2. Step 2: Convert to fraction form
    14,548.95/21,820.34 = 6,649.22/x
  3. Step 3: Cross multiply
    14,548.95x = 21,820.34 × 6,649.22
  4. Step 4: Simplify right side
    14,548.95x = 145,088,241.13
  5. Step 5: Solve for x
    x = 145,088,241.13/14,548.95
  6. Step 6: Final answer
    x = 9,972.42

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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.