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Finding the Fourth Proportional to 12,914.69, 19,372.11 and 4,595.03

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Solution

The fourth proportional to 12,914.69, 19,372.11 and 4,595.03 is: 6,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.69 : 19,372.11 = 4,595.03 : x
  2. Step 2: Convert to fraction form
    12,914.69/19,372.11 = 4,595.03/x
  3. Step 3: Cross multiply
    12,914.69x = 19,372.11 × 4,595.03
  4. Step 4: Simplify right side
    12,914.69x = 89,015,411.01
  5. Step 5: Solve for x
    x = 89,015,411.01/12,914.69
  6. Step 6: Final answer
    x = 6,892.57

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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.