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Finding the Fourth Proportional to 21,009.57, 31,514.33 and 9,758.76

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Solution

The fourth proportional to 21,009.57, 31,514.33 and 9,758.76 is: 14,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.57 : 31,514.33 = 9,758.76 : x
  2. Step 2: Convert to fraction form
    21,009.57/31,514.33 = 9,758.76/x
  3. Step 3: Cross multiply
    21,009.57x = 31,514.33 × 9,758.76
  4. Step 4: Simplify right side
    21,009.57x = 307,540,734.24
  5. Step 5: Solve for x
    x = 307,540,734.24/21,009.57
  6. Step 6: Final answer
    x = 14,638.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.