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Finding the Fourth Proportional to 14,252.00, 21,378.04 and 8,404.50

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Solution

The fourth proportional to 14,252.00, 21,378.04 and 8,404.50 is: 12,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.00 : 21,378.04 = 8,404.50 : x
  2. Step 2: Convert to fraction form
    14,252.00/21,378.04 = 8,404.50/x
  3. Step 3: Cross multiply
    14,252.00x = 21,378.04 × 8,404.50
  4. Step 4: Simplify right side
    14,252.00x = 179,671,716.17
  5. Step 5: Solve for x
    x = 179,671,716.17/14,252.00
  6. Step 6: Final answer
    x = 12,606.78

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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.