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Finding the Fourth Proportional to 21,309.90, 29,407.38 and 12,357.18

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Solution

The fourth proportional to 21,309.90, 29,407.38 and 12,357.18 is: 17,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.90 : 29,407.38 = 12,357.18 : x
  2. Step 2: Convert to fraction form
    21,309.90/29,407.38 = 12,357.18/x
  3. Step 3: Cross multiply
    21,309.90x = 29,407.38 × 12,357.18
  4. Step 4: Simplify right side
    21,309.90x = 363,392,287.99
  5. Step 5: Solve for x
    x = 363,392,287.99/21,309.90
  6. Step 6: Final answer
    x = 17,052.74

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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.