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Finding the Fourth Proportional to 12,464.74, 17,201.19 and 7,159.60

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Solution

The fourth proportional to 12,464.74, 17,201.19 and 7,159.60 is: 9,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.74 : 17,201.19 = 7,159.60 : x
  2. Step 2: Convert to fraction form
    12,464.74/17,201.19 = 7,159.60/x
  3. Step 3: Cross multiply
    12,464.74x = 17,201.19 × 7,159.60
  4. Step 4: Simplify right side
    12,464.74x = 123,153,639.92
  5. Step 5: Solve for x
    x = 123,153,639.92/12,464.74
  6. Step 6: Final answer
    x = 9,880.16

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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.