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Finding the Fourth Proportional to 14,534.40, 21,786 and 5,757.12

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Solution

The fourth proportional to 14,534.40, 21,786 and 5,757.12 is: 8,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.40 : 21,786 = 5,757.12 : x
  2. Step 2: Convert to fraction form
    14,534.40/21,786 = 5,757.12/x
  3. Step 3: Cross multiply
    14,534.40x = 21,786 × 5,757.12
  4. Step 4: Simplify right side
    14,534.40x = 125,424,616.32
  5. Step 5: Solve for x
    x = 125,424,616.32/14,534.40
  6. Step 6: Final answer
    x = 8,629.50

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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.