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Finding the Fourth Proportional to 12,480.12, 17,223.84 and 7,175.16

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Solution

The fourth proportional to 12,480.12, 17,223.84 and 7,175.16 is: 9,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.12 : 17,223.84 = 7,175.16 : x
  2. Step 2: Convert to fraction form
    12,480.12/17,223.84 = 7,175.16/x
  3. Step 3: Cross multiply
    12,480.12x = 17,223.84 × 7,175.16
  4. Step 4: Simplify right side
    12,480.12x = 123,583,807.81
  5. Step 5: Solve for x
    x = 123,583,807.81/12,480.12
  6. Step 6: Final answer
    x = 9,902.45

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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.