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Finding the Fourth Proportional to 14,953.37, 22,408.91 and 8,292.81

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Solution

The fourth proportional to 14,953.37, 22,408.91 and 8,292.81 is: 12,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.37 : 22,408.91 = 8,292.81 : x
  2. Step 2: Convert to fraction form
    14,953.37/22,408.91 = 8,292.81/x
  3. Step 3: Cross multiply
    14,953.37x = 22,408.91 × 8,292.81
  4. Step 4: Simplify right side
    14,953.37x = 185,832,832.94
  5. Step 5: Solve for x
    x = 185,832,832.94/14,953.37
  6. Step 6: Final answer
    x = 12,427.49

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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.