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Finding the Fourth Proportional to 15,148, 20,904.24 and 8,524

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Solution

The fourth proportional to 15,148, 20,904.24 and 8,524 is: 11,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 20,904.24 = 8,524 : x
  2. Step 2: Convert to fraction form
    15,148/20,904.24 = 8,524/x
  3. Step 3: Cross multiply
    15,148x = 20,904.24 × 8,524
  4. Step 4: Simplify right side
    15,148x = 178,187,741.76
  5. Step 5: Solve for x
    x = 178,187,741.76/15,148
  6. Step 6: Final answer
    x = 11,763.12

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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.