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Finding the Fourth Proportional to 24,364.42, 36,561.20 and 10,513.42

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Solution

The fourth proportional to 24,364.42, 36,561.20 and 10,513.42 is: 15,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.42 : 36,561.20 = 10,513.42 : x
  2. Step 2: Convert to fraction form
    24,364.42/36,561.20 = 10,513.42/x
  3. Step 3: Cross multiply
    24,364.42x = 36,561.20 × 10,513.42
  4. Step 4: Simplify right side
    24,364.42x = 384,383,068.50
  5. Step 5: Solve for x
    x = 384,383,068.50/24,364.42
  6. Step 6: Final answer
    x = 15,776.41

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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.