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Finding the Fourth Proportional to 14,340.64, 19,791.90 and 8,053

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Solution

The fourth proportional to 14,340.64, 19,791.90 and 8,053 is: 11,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.64 : 19,791.90 = 8,053 : x
  2. Step 2: Convert to fraction form
    14,340.64/19,791.90 = 8,053/x
  3. Step 3: Cross multiply
    14,340.64x = 19,791.90 × 8,053
  4. Step 4: Simplify right side
    14,340.64x = 159,384,170.70
  5. Step 5: Solve for x
    x = 159,384,170.70/14,340.64
  6. Step 6: Final answer
    x = 11,114.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.