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Finding the Fourth Proportional to 13,992.90, 19,309.62 and 8,024.22

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Solution

The fourth proportional to 13,992.90, 19,309.62 and 8,024.22 is: 11,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.90 : 19,309.62 = 8,024.22 : x
  2. Step 2: Convert to fraction form
    13,992.90/19,309.62 = 8,024.22/x
  3. Step 3: Cross multiply
    13,992.90x = 19,309.62 × 8,024.22
  4. Step 4: Simplify right side
    13,992.90x = 154,944,639.00
  5. Step 5: Solve for x
    x = 154,944,639.00/13,992.90
  6. Step 6: Final answer
    x = 11,073.09

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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.