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Finding the Fourth Proportional to 18,090.96, 24,965.72 and 10,024.85

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Solution

The fourth proportional to 18,090.96, 24,965.72 and 10,024.85 is: 13,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,090.96 : 24,965.72 = 10,024.85 : x
  2. Step 2: Convert to fraction form
    18,090.96/24,965.72 = 10,024.85/x
  3. Step 3: Cross multiply
    18,090.96x = 24,965.72 × 10,024.85
  4. Step 4: Simplify right side
    18,090.96x = 250,277,423.19
  5. Step 5: Solve for x
    x = 250,277,423.19/18,090.96
  6. Step 6: Final answer
    x = 13,834.39

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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.