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Finding the Fourth Proportional to 21,043.76, 31,568.76 and 9,961.20

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Solution

The fourth proportional to 21,043.76, 31,568.76 and 9,961.20 is: 14,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.76 : 31,568.76 = 9,961.20 : x
  2. Step 2: Convert to fraction form
    21,043.76/31,568.76 = 9,961.20/x
  3. Step 3: Cross multiply
    21,043.76x = 31,568.76 × 9,961.20
  4. Step 4: Simplify right side
    21,043.76x = 314,462,732.11
  5. Step 5: Solve for x
    x = 314,462,732.11/21,043.76
  6. Step 6: Final answer
    x = 14,943.28

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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.