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Finding the Fourth Proportional to 12,518.86, 17,277.96 and 7,141.32

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Solution

The fourth proportional to 12,518.86, 17,277.96 and 7,141.32 is: 9,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.86 : 17,277.96 = 7,141.32 : x
  2. Step 2: Convert to fraction form
    12,518.86/17,277.96 = 7,141.32/x
  3. Step 3: Cross multiply
    12,518.86x = 17,277.96 × 7,141.32
  4. Step 4: Simplify right side
    12,518.86x = 123,387,441.31
  5. Step 5: Solve for x
    x = 123,387,441.31/12,518.86
  6. Step 6: Final answer
    x = 9,856.12

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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.