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Finding the Fourth Proportional to 28,114.17, 42,174 and 8,124.14

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Solution

The fourth proportional to 28,114.17, 42,174 and 8,124.14 is: 12,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.17 : 42,174 = 8,124.14 : x
  2. Step 2: Convert to fraction form
    28,114.17/42,174 = 8,124.14/x
  3. Step 3: Cross multiply
    28,114.17x = 42,174 × 8,124.14
  4. Step 4: Simplify right side
    28,114.17x = 342,627,269.49
  5. Step 5: Solve for x
    x = 342,627,269.49/28,114.17
  6. Step 6: Final answer
    x = 12,187.00

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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.