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Finding the Fourth Proportional to 14,830, 22,249.44 and 8,588.56

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Solution

The fourth proportional to 14,830, 22,249.44 and 8,588.56 is: 12,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830 : 22,249.44 = 8,588.56 : x
  2. Step 2: Convert to fraction form
    14,830/22,249.44 = 8,588.56/x
  3. Step 3: Cross multiply
    14,830x = 22,249.44 × 8,588.56
  4. Step 4: Simplify right side
    14,830x = 191,090,650.41
  5. Step 5: Solve for x
    x = 191,090,650.41/14,830
  6. Step 6: Final answer
    x = 12,885.41

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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.