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Finding the Fourth Proportional to 14,082.43, 19,432.44 and 8,416.06

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Solution

The fourth proportional to 14,082.43, 19,432.44 and 8,416.06 is: 11,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.43 : 19,432.44 = 8,416.06 : x
  2. Step 2: Convert to fraction form
    14,082.43/19,432.44 = 8,416.06/x
  3. Step 3: Cross multiply
    14,082.43x = 19,432.44 × 8,416.06
  4. Step 4: Simplify right side
    14,082.43x = 163,544,580.99
  5. Step 5: Solve for x
    x = 163,544,580.99/14,082.43
  6. Step 6: Final answer
    x = 11,613.38

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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.