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Finding the Fourth Proportional to 15,925.50, 23,893.29 and 7,161.18

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Solution

The fourth proportional to 15,925.50, 23,893.29 and 7,161.18 is: 10,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,925.50 : 23,893.29 = 7,161.18 : x
  2. Step 2: Convert to fraction form
    15,925.50/23,893.29 = 7,161.18/x
  3. Step 3: Cross multiply
    15,925.50x = 23,893.29 × 7,161.18
  4. Step 4: Simplify right side
    15,925.50x = 171,104,150.48
  5. Step 5: Solve for x
    x = 171,104,150.48/15,925.50
  6. Step 6: Final answer
    x = 10,744.04

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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.