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Finding the Fourth Proportional to 14,553.44, 21,830.16 and 6,758

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Solution

The fourth proportional to 14,553.44, 21,830.16 and 6,758 is: 10,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.44 : 21,830.16 = 6,758 : x
  2. Step 2: Convert to fraction form
    14,553.44/21,830.16 = 6,758/x
  3. Step 3: Cross multiply
    14,553.44x = 21,830.16 × 6,758
  4. Step 4: Simplify right side
    14,553.44x = 147,528,221.28
  5. Step 5: Solve for x
    x = 147,528,221.28/14,553.44
  6. Step 6: Final answer
    x = 10,137

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.