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Finding the Fourth Proportional to 12,684.24, 17,504.28 and 7,019.40

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Solution

The fourth proportional to 12,684.24, 17,504.28 and 7,019.40 is: 9,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.24 : 17,504.28 = 7,019.40 : x
  2. Step 2: Convert to fraction form
    12,684.24/17,504.28 = 7,019.40/x
  3. Step 3: Cross multiply
    12,684.24x = 17,504.28 × 7,019.40
  4. Step 4: Simplify right side
    12,684.24x = 122,869,543.03
  5. Step 5: Solve for x
    x = 122,869,543.03/12,684.24
  6. Step 6: Final answer
    x = 9,686.79

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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.