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Finding the Fourth Proportional to 13,364.39, 18,436.88 and 7,697.66

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Solution

The fourth proportional to 13,364.39, 18,436.88 and 7,697.66 is: 10,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.39 : 18,436.88 = 7,697.66 : x
  2. Step 2: Convert to fraction form
    13,364.39/18,436.88 = 7,697.66/x
  3. Step 3: Cross multiply
    13,364.39x = 18,436.88 × 7,697.66
  4. Step 4: Simplify right side
    13,364.39x = 141,920,760.76
  5. Step 5: Solve for x
    x = 141,920,760.76/13,364.39
  6. Step 6: Final answer
    x = 10,619.32

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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.