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Finding the Fourth Proportional to 17,502, 24,152.76 and 11,222.88

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Solution

The fourth proportional to 17,502, 24,152.76 and 11,222.88 is: 15,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502 : 24,152.76 = 11,222.88 : x
  2. Step 2: Convert to fraction form
    17,502/24,152.76 = 11,222.88/x
  3. Step 3: Cross multiply
    17,502x = 24,152.76 × 11,222.88
  4. Step 4: Simplify right side
    17,502x = 271,063,527.15
  5. Step 5: Solve for x
    x = 271,063,527.15/17,502
  6. Step 6: Final answer
    x = 15,487.57

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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.