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Finding the Fourth Proportional to 22,992.99, 31,730.61 and 13,918.23

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Solution

The fourth proportional to 22,992.99, 31,730.61 and 13,918.23 is: 19,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.99 : 31,730.61 = 13,918.23 : x
  2. Step 2: Convert to fraction form
    22,992.99/31,730.61 = 13,918.23/x
  3. Step 3: Cross multiply
    22,992.99x = 31,730.61 × 13,918.23
  4. Step 4: Simplify right side
    22,992.99x = 441,633,941.07
  5. Step 5: Solve for x
    x = 441,633,941.07/22,992.99
  6. Step 6: Final answer
    x = 19,207.33

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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.