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Finding the Fourth Proportional to 12,474.53, 17,214.42 and 7,436.16

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Solution

The fourth proportional to 12,474.53, 17,214.42 and 7,436.16 is: 10,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.53 : 17,214.42 = 7,436.16 : x
  2. Step 2: Convert to fraction form
    12,474.53/17,214.42 = 7,436.16/x
  3. Step 3: Cross multiply
    12,474.53x = 17,214.42 × 7,436.16
  4. Step 4: Simplify right side
    12,474.53x = 128,009,144.76
  5. Step 5: Solve for x
    x = 128,009,144.76/12,474.53
  6. Step 6: Final answer
    x = 10,261.64

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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.