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Finding the Fourth Proportional to 24,193.50, 36,256.20 and 19,241.16

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Solution

The fourth proportional to 24,193.50, 36,256.20 and 19,241.16 is: 28,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.50 : 36,256.20 = 19,241.16 : x
  2. Step 2: Convert to fraction form
    24,193.50/36,256.20 = 19,241.16/x
  3. Step 3: Cross multiply
    24,193.50x = 36,256.20 × 19,241.16
  4. Step 4: Simplify right side
    24,193.50x = 697,611,345.19
  5. Step 5: Solve for x
    x = 697,611,345.19/24,193.50
  6. Step 6: Final answer
    x = 28,834.66

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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.