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Finding the Fourth Proportional to 22,538.25, 31,104.23 and 12,602.25

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Solution

The fourth proportional to 22,538.25, 31,104.23 and 12,602.25 is: 17,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.25 : 31,104.23 = 12,602.25 : x
  2. Step 2: Convert to fraction form
    22,538.25/31,104.23 = 12,602.25/x
  3. Step 3: Cross multiply
    22,538.25x = 31,104.23 × 12,602.25
  4. Step 4: Simplify right side
    22,538.25x = 391,983,219.51
  5. Step 5: Solve for x
    x = 391,983,219.51/22,538.25
  6. Step 6: Final answer
    x = 17,391.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.