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Finding the Fourth Proportional to 12,025, 18,037.77 and 4,127.50

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Solution

The fourth proportional to 12,025, 18,037.77 and 4,127.50 is: 6,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025 : 18,037.77 = 4,127.50 : x
  2. Step 2: Convert to fraction form
    12,025/18,037.77 = 4,127.50/x
  3. Step 3: Cross multiply
    12,025x = 18,037.77 × 4,127.50
  4. Step 4: Simplify right side
    12,025x = 74,450,895.68
  5. Step 5: Solve for x
    x = 74,450,895.68/12,025
  6. Step 6: Final answer
    x = 6,191.34

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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.