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Finding the Fourth Proportional to 21,009.33, 31,514.00 and 12,138.17

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Solution

The fourth proportional to 21,009.33, 31,514.00 and 12,138.17 is: 18,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.33 : 31,514.00 = 12,138.17 : x
  2. Step 2: Convert to fraction form
    21,009.33/31,514.00 = 12,138.17/x
  3. Step 3: Cross multiply
    21,009.33x = 31,514.00 × 12,138.17
  4. Step 4: Simplify right side
    21,009.33x = 382,522,071.12
  5. Step 5: Solve for x
    x = 382,522,071.12/21,009.33
  6. Step 6: Final answer
    x = 18,207.25

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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.