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Finding the Fourth Proportional to 14,200.17, 21,305.70 and 5,435.70

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Solution

The fourth proportional to 14,200.17, 21,305.70 and 5,435.70 is: 8,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.17 : 21,305.70 = 5,435.70 : x
  2. Step 2: Convert to fraction form
    14,200.17/21,305.70 = 5,435.70/x
  3. Step 3: Cross multiply
    14,200.17x = 21,305.70 × 5,435.70
  4. Step 4: Simplify right side
    14,200.17x = 115,811,393.49
  5. Step 5: Solve for x
    x = 115,811,393.49/14,200.17
  6. Step 6: Final answer
    x = 8,155.63

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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.