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Finding the Fourth Proportional to 14,396.94, 19,869.23 and 8,024.57

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Solution

The fourth proportional to 14,396.94, 19,869.23 and 8,024.57 is: 11,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.94 : 19,869.23 = 8,024.57 : x
  2. Step 2: Convert to fraction form
    14,396.94/19,869.23 = 8,024.57/x
  3. Step 3: Cross multiply
    14,396.94x = 19,869.23 × 8,024.57
  4. Step 4: Simplify right side
    14,396.94x = 159,442,022.21
  5. Step 5: Solve for x
    x = 159,442,022.21/14,396.94
  6. Step 6: Final answer
    x = 11,074.72

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1.5x scale

Why These Related Problems?

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