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Finding the Fourth Proportional to 14,097.59, 21,140.01 and 4,234.94

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Solution

The fourth proportional to 14,097.59, 21,140.01 and 4,234.94 is: 6,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.59 : 21,140.01 = 4,234.94 : x
  2. Step 2: Convert to fraction form
    14,097.59/21,140.01 = 4,234.94/x
  3. Step 3: Cross multiply
    14,097.59x = 21,140.01 × 4,234.94
  4. Step 4: Simplify right side
    14,097.59x = 89,526,568.25
  5. Step 5: Solve for x
    x = 89,526,568.25/14,097.59
  6. Step 6: Final answer
    x = 6,350.49

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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.