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Finding the Fourth Proportional to 21,126, 31,689.45 and 7,984.56

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Solution

The fourth proportional to 21,126, 31,689.45 and 7,984.56 is: 11,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126 : 31,689.45 = 7,984.56 : x
  2. Step 2: Convert to fraction form
    21,126/31,689.45 = 7,984.56/x
  3. Step 3: Cross multiply
    21,126x = 31,689.45 × 7,984.56
  4. Step 4: Simplify right side
    21,126x = 253,026,314.89
  5. Step 5: Solve for x
    x = 253,026,314.89/21,126
  6. Step 6: Final answer
    x = 11,977.01

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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.