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Finding the Fourth Proportional to 14,960.61, 22,447.40 and 8,027.01

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Solution

The fourth proportional to 14,960.61, 22,447.40 and 8,027.01 is: 12,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.61 : 22,447.40 = 8,027.01 : x
  2. Step 2: Convert to fraction form
    14,960.61/22,447.40 = 8,027.01/x
  3. Step 3: Cross multiply
    14,960.61x = 22,447.40 × 8,027.01
  4. Step 4: Simplify right side
    14,960.61x = 180,185,464.14
  5. Step 5: Solve for x
    x = 180,185,464.14/14,960.61
  6. Step 6: Final answer
    x = 12,043.99

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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.