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Finding the Fourth Proportional to 12,650.42, 17,459.88 and 7,345.46

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Solution

The fourth proportional to 12,650.42, 17,459.88 and 7,345.46 is: 10,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.42 : 17,459.88 = 7,345.46 : x
  2. Step 2: Convert to fraction form
    12,650.42/17,459.88 = 7,345.46/x
  3. Step 3: Cross multiply
    12,650.42x = 17,459.88 × 7,345.46
  4. Step 4: Simplify right side
    12,650.42x = 128,250,850.14
  5. Step 5: Solve for x
    x = 128,250,850.14/12,650.42
  6. Step 6: Final answer
    x = 10,138.07

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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.