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Finding the Fourth Proportional to 24,811.08, 34,242.24 and 14,204.13

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Solution

The fourth proportional to 24,811.08, 34,242.24 and 14,204.13 is: 19,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.08 : 34,242.24 = 14,204.13 : x
  2. Step 2: Convert to fraction form
    24,811.08/34,242.24 = 14,204.13/x
  3. Step 3: Cross multiply
    24,811.08x = 34,242.24 × 14,204.13
  4. Step 4: Simplify right side
    24,811.08x = 486,381,228.45
  5. Step 5: Solve for x
    x = 486,381,228.45/24,811.08
  6. Step 6: Final answer
    x = 19,603.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.