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Finding the Fourth Proportional to 14,908.51, 22,362.76 and 8,327.00

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Solution

The fourth proportional to 14,908.51, 22,362.76 and 8,327.00 is: 12,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.51 : 22,362.76 = 8,327.00 : x
  2. Step 2: Convert to fraction form
    14,908.51/22,362.76 = 8,327.00/x
  3. Step 3: Cross multiply
    14,908.51x = 22,362.76 × 8,327.00
  4. Step 4: Simplify right side
    14,908.51x = 186,214,745.42
  5. Step 5: Solve for x
    x = 186,214,745.42/14,908.51
  6. Step 6: Final answer
    x = 12,490.50

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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.