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Finding the Fourth Proportional to 12,944.58, 17,857.23 and 7,636.32

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Solution

The fourth proportional to 12,944.58, 17,857.23 and 7,636.32 is: 10,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.58 : 17,857.23 = 7,636.32 : x
  2. Step 2: Convert to fraction form
    12,944.58/17,857.23 = 7,636.32/x
  3. Step 3: Cross multiply
    12,944.58x = 17,857.23 × 7,636.32
  4. Step 4: Simplify right side
    12,944.58x = 136,363,522.59
  5. Step 5: Solve for x
    x = 136,363,522.59/12,944.58
  6. Step 6: Final answer
    x = 10,534.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.