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Finding the Fourth Proportional to 14,587.44, 21,882.23 and 4,200

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Solution

The fourth proportional to 14,587.44, 21,882.23 and 4,200 is: 6,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.44 : 21,882.23 = 4,200 : x
  2. Step 2: Convert to fraction form
    14,587.44/21,882.23 = 4,200/x
  3. Step 3: Cross multiply
    14,587.44x = 21,882.23 × 4,200
  4. Step 4: Simplify right side
    14,587.44x = 91,905,366
  5. Step 5: Solve for x
    x = 91,905,366/14,587.44
  6. Step 6: Final answer
    x = 6,300.31

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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.