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Finding the Fourth Proportional to 22,603.83, 31,189.97 and 13,039.97

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Solution

The fourth proportional to 22,603.83, 31,189.97 and 13,039.97 is: 17,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.83 : 31,189.97 = 13,039.97 : x
  2. Step 2: Convert to fraction form
    22,603.83/31,189.97 = 13,039.97/x
  3. Step 3: Cross multiply
    22,603.83x = 31,189.97 × 13,039.97
  4. Step 4: Simplify right side
    22,603.83x = 406,716,051.95
  5. Step 5: Solve for x
    x = 406,716,051.95/22,603.83
  6. Step 6: Final answer
    x = 17,993.24

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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.