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Finding the Fourth Proportional to 21,402.30, 29,535.75 and 11,970.30

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Solution

The fourth proportional to 21,402.30, 29,535.75 and 11,970.30 is: 16,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.30 : 29,535.75 = 11,970.30 : x
  2. Step 2: Convert to fraction form
    21,402.30/29,535.75 = 11,970.30/x
  3. Step 3: Cross multiply
    21,402.30x = 29,535.75 × 11,970.30
  4. Step 4: Simplify right side
    21,402.30x = 353,551,788.23
  5. Step 5: Solve for x
    x = 353,551,788.23/21,402.30
  6. Step 6: Final answer
    x = 16,519.34

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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.