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Finding the Fourth Proportional to 15,102.39, 20,841.74 and 9,135.15

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Solution

The fourth proportional to 15,102.39, 20,841.74 and 9,135.15 is: 12,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.39 : 20,841.74 = 9,135.15 : x
  2. Step 2: Convert to fraction form
    15,102.39/20,841.74 = 9,135.15/x
  3. Step 3: Cross multiply
    15,102.39x = 20,841.74 × 9,135.15
  4. Step 4: Simplify right side
    15,102.39x = 190,392,339.79
  5. Step 5: Solve for x
    x = 190,392,339.79/15,102.39
  6. Step 6: Final answer
    x = 12,606.77

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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.