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Finding the Fourth Proportional to 13,039.76, 17,994.72 and 7,071.32

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Solution

The fourth proportional to 13,039.76, 17,994.72 and 7,071.32 is: 9,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.76 : 17,994.72 = 7,071.32 : x
  2. Step 2: Convert to fraction form
    13,039.76/17,994.72 = 7,071.32/x
  3. Step 3: Cross multiply
    13,039.76x = 17,994.72 × 7,071.32
  4. Step 4: Simplify right side
    13,039.76x = 127,246,423.43
  5. Step 5: Solve for x
    x = 127,246,423.43/13,039.76
  6. Step 6: Final answer
    x = 9,758.34

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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.