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Finding the Fourth Proportional to 14,743, 22,115.58 and 4,882.06

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Solution

The fourth proportional to 14,743, 22,115.58 and 4,882.06 is: 7,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743 : 22,115.58 = 4,882.06 : x
  2. Step 2: Convert to fraction form
    14,743/22,115.58 = 4,882.06/x
  3. Step 3: Cross multiply
    14,743x = 22,115.58 × 4,882.06
  4. Step 4: Simplify right side
    14,743x = 107,969,588.49
  5. Step 5: Solve for x
    x = 107,969,588.49/14,743
  6. Step 6: Final answer
    x = 7,323.45

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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.