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Finding the Fourth Proportional to 12,464.24, 17,199.86 and 7,155.32

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Solution

The fourth proportional to 12,464.24, 17,199.86 and 7,155.32 is: 9,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.24 : 17,199.86 = 7,155.32 : x
  2. Step 2: Convert to fraction form
    12,464.24/17,199.86 = 7,155.32/x
  3. Step 3: Cross multiply
    12,464.24x = 17,199.86 × 7,155.32
  4. Step 4: Simplify right side
    12,464.24x = 123,070,502.26
  5. Step 5: Solve for x
    x = 123,070,502.26/12,464.24
  6. Step 6: Final answer
    x = 9,873.89

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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.