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Finding the Fourth Proportional to 22,231.18, 30,649.01 and 14,259.57

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Solution

The fourth proportional to 22,231.18, 30,649.01 and 14,259.57 is: 19,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.18 : 30,649.01 = 14,259.57 : x
  2. Step 2: Convert to fraction form
    22,231.18/30,649.01 = 14,259.57/x
  3. Step 3: Cross multiply
    22,231.18x = 30,649.01 × 14,259.57
  4. Step 4: Simplify right side
    22,231.18x = 437,041,703.53
  5. Step 5: Solve for x
    x = 437,041,703.53/22,231.18
  6. Step 6: Final answer
    x = 19,658.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.