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Finding the Fourth Proportional to 14,002, 19,325.60 and 8,037.78

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Solution

The fourth proportional to 14,002, 19,325.60 and 8,037.78 is: 11,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 19,325.60 = 8,037.78 : x
  2. Step 2: Convert to fraction form
    14,002/19,325.60 = 8,037.78/x
  3. Step 3: Cross multiply
    14,002x = 19,325.60 × 8,037.78
  4. Step 4: Simplify right side
    14,002x = 155,334,921.17
  5. Step 5: Solve for x
    x = 155,334,921.17/14,002
  6. Step 6: Final answer
    x = 11,093.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.