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Finding the Fourth Proportional to 14,254.14, 19,657.98 and 8,949.46

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Solution

The fourth proportional to 14,254.14, 19,657.98 and 8,949.46 is: 12,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.14 : 19,657.98 = 8,949.46 : x
  2. Step 2: Convert to fraction form
    14,254.14/19,657.98 = 8,949.46/x
  3. Step 3: Cross multiply
    14,254.14x = 19,657.98 × 8,949.46
  4. Step 4: Simplify right side
    14,254.14x = 175,928,305.69
  5. Step 5: Solve for x
    x = 175,928,305.69/14,254.14
  6. Step 6: Final answer
    x = 12,342.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.