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Finding the Fourth Proportional to 14,023.68, 19,353.51 and 7,736.04

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Solution

The fourth proportional to 14,023.68, 19,353.51 and 7,736.04 is: 10,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.68 : 19,353.51 = 7,736.04 : x
  2. Step 2: Convert to fraction form
    14,023.68/19,353.51 = 7,736.04/x
  3. Step 3: Cross multiply
    14,023.68x = 19,353.51 × 7,736.04
  4. Step 4: Simplify right side
    14,023.68x = 149,719,527.50
  5. Step 5: Solve for x
    x = 149,719,527.50/14,023.68
  6. Step 6: Final answer
    x = 10,676.19

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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.