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Finding the Fourth Proportional to 21,940.32, 30,278.16 and 12,509.76

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Solution

The fourth proportional to 21,940.32, 30,278.16 and 12,509.76 is: 17,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.32 : 30,278.16 = 12,509.76 : x
  2. Step 2: Convert to fraction form
    21,940.32/30,278.16 = 12,509.76/x
  3. Step 3: Cross multiply
    21,940.32x = 30,278.16 × 12,509.76
  4. Step 4: Simplify right side
    21,940.32x = 378,772,514.84
  5. Step 5: Solve for x
    x = 378,772,514.84/21,940.32
  6. Step 6: Final answer
    x = 17,263.76

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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.