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Finding the Fourth Proportional to 14,811.55, 22,102.69 and 13,234.41

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Solution

The fourth proportional to 14,811.55, 22,102.69 and 13,234.41 is: 19,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.55 : 22,102.69 = 13,234.41 : x
  2. Step 2: Convert to fraction form
    14,811.55/22,102.69 = 13,234.41/x
  3. Step 3: Cross multiply
    14,811.55x = 22,102.69 × 13,234.41
  4. Step 4: Simplify right side
    14,811.55x = 292,516,061.56
  5. Step 5: Solve for x
    x = 292,516,061.56/14,811.55
  6. Step 6: Final answer
    x = 19,749.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.