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Finding the Fourth Proportional to 14,437.54, 21,657.54 and 4,049.29

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Solution

The fourth proportional to 14,437.54, 21,657.54 and 4,049.29 is: 6,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.54 : 21,657.54 = 4,049.29 : x
  2. Step 2: Convert to fraction form
    14,437.54/21,657.54 = 4,049.29/x
  3. Step 3: Cross multiply
    14,437.54x = 21,657.54 × 4,049.29
  4. Step 4: Simplify right side
    14,437.54x = 87,697,660.15
  5. Step 5: Solve for x
    x = 87,697,660.15/14,437.54
  6. Step 6: Final answer
    x = 6,074.28

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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.