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Finding the Fourth Proportional to 13,302.16, 18,356.76 and 7,334.39

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Solution

The fourth proportional to 13,302.16, 18,356.76 and 7,334.39 is: 10,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.16 : 18,356.76 = 7,334.39 : x
  2. Step 2: Convert to fraction form
    13,302.16/18,356.76 = 7,334.39/x
  3. Step 3: Cross multiply
    13,302.16x = 18,356.76 × 7,334.39
  4. Step 4: Simplify right side
    13,302.16x = 134,635,636.98
  5. Step 5: Solve for x
    x = 134,635,636.98/13,302.16
  6. Step 6: Final answer
    x = 10,121.34

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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.