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Finding the Fourth Proportional to 14,366.24, 21,531.74 and 6,861.20

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Solution

The fourth proportional to 14,366.24, 21,531.74 and 6,861.20 is: 10,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.24 : 21,531.74 = 6,861.20 : x
  2. Step 2: Convert to fraction form
    14,366.24/21,531.74 = 6,861.20/x
  3. Step 3: Cross multiply
    14,366.24x = 21,531.74 × 6,861.20
  4. Step 4: Simplify right side
    14,366.24x = 147,733,574.49
  5. Step 5: Solve for x
    x = 147,733,574.49/14,366.24
  6. Step 6: Final answer
    x = 10,283.38

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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.