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Finding the Fourth Proportional to 12,376.60, 17,102.32 and 9,013.55

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Solution

The fourth proportional to 12,376.60, 17,102.32 and 9,013.55 is: 12,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.60 : 17,102.32 = 9,013.55 : x
  2. Step 2: Convert to fraction form
    12,376.60/17,102.32 = 9,013.55/x
  3. Step 3: Cross multiply
    12,376.60x = 17,102.32 × 9,013.55
  4. Step 4: Simplify right side
    12,376.60x = 154,152,508.39
  5. Step 5: Solve for x
    x = 154,152,508.39/12,376.60
  6. Step 6: Final answer
    x = 12,455.16

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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.