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Finding the Fourth Proportional to 21,514.33, 29,692.65 and 13,023.31

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Solution

The fourth proportional to 21,514.33, 29,692.65 and 13,023.31 is: 17,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.33 : 29,692.65 = 13,023.31 : x
  2. Step 2: Convert to fraction form
    21,514.33/29,692.65 = 13,023.31/x
  3. Step 3: Cross multiply
    21,514.33x = 29,692.65 × 13,023.31
  4. Step 4: Simplify right side
    21,514.33x = 386,696,585.67
  5. Step 5: Solve for x
    x = 386,696,585.67/21,514.33
  6. Step 6: Final answer
    x = 17,973.91

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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.