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Finding the Fourth Proportional to 22,232.70, 30,685.23 and 14,284.86

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Solution

The fourth proportional to 22,232.70, 30,685.23 and 14,284.86 is: 19,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.70 : 30,685.23 = 14,284.86 : x
  2. Step 2: Convert to fraction form
    22,232.70/30,685.23 = 14,284.86/x
  3. Step 3: Cross multiply
    22,232.70x = 30,685.23 × 14,284.86
  4. Step 4: Simplify right side
    22,232.70x = 438,334,214.62
  5. Step 5: Solve for x
    x = 438,334,214.62/22,232.70
  6. Step 6: Final answer
    x = 19,715.74

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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.