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Finding the Fourth Proportional to 14,202.90, 19,593.82 and 8,457.14

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Solution

The fourth proportional to 14,202.90, 19,593.82 and 8,457.14 is: 11,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.90 : 19,593.82 = 8,457.14 : x
  2. Step 2: Convert to fraction form
    14,202.90/19,593.82 = 8,457.14/x
  3. Step 3: Cross multiply
    14,202.90x = 19,593.82 × 8,457.14
  4. Step 4: Simplify right side
    14,202.90x = 165,707,678.87
  5. Step 5: Solve for x
    x = 165,707,678.87/14,202.90
  6. Step 6: Final answer
    x = 11,667.17

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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.