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Finding the Fourth Proportional to 19,395.92, 29,093.88 and 9,002

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Solution

The fourth proportional to 19,395.92, 29,093.88 and 9,002 is: 13,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,395.92 : 29,093.88 = 9,002 : x
  2. Step 2: Convert to fraction form
    19,395.92/29,093.88 = 9,002/x
  3. Step 3: Cross multiply
    19,395.92x = 29,093.88 × 9,002
  4. Step 4: Simplify right side
    19,395.92x = 261,903,107.76
  5. Step 5: Solve for x
    x = 261,903,107.76/19,395.92
  6. Step 6: Final answer
    x = 13,503.00

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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.