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Finding the Fourth Proportional to 21,282.88, 31,889.12 and 10,880.32

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Solution

The fourth proportional to 21,282.88, 31,889.12 and 10,880.32 is: 16,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.88 : 31,889.12 = 10,880.32 : x
  2. Step 2: Convert to fraction form
    21,282.88/31,889.12 = 10,880.32/x
  3. Step 3: Cross multiply
    21,282.88x = 31,889.12 × 10,880.32
  4. Step 4: Simplify right side
    21,282.88x = 346,963,830.12
  5. Step 5: Solve for x
    x = 346,963,830.12/21,282.88
  6. Step 6: Final answer
    x = 16,302.48

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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.