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Finding the Fourth Proportional to 12,830.56, 17,706.12 and 7,241.52

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Solution

The fourth proportional to 12,830.56, 17,706.12 and 7,241.52 is: 9,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.56 : 17,706.12 = 7,241.52 : x
  2. Step 2: Convert to fraction form
    12,830.56/17,706.12 = 7,241.52/x
  3. Step 3: Cross multiply
    12,830.56x = 17,706.12 × 7,241.52
  4. Step 4: Simplify right side
    12,830.56x = 128,219,222.10
  5. Step 5: Solve for x
    x = 128,219,222.10/12,830.56
  6. Step 6: Final answer
    x = 9,993.27

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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.