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Finding the Fourth Proportional to 12,340.64, 17,035.68 and 7,870.48

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Solution

The fourth proportional to 12,340.64, 17,035.68 and 7,870.48 is: 10,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.64 : 17,035.68 = 7,870.48 : x
  2. Step 2: Convert to fraction form
    12,340.64/17,035.68 = 7,870.48/x
  3. Step 3: Cross multiply
    12,340.64x = 17,035.68 × 7,870.48
  4. Step 4: Simplify right side
    12,340.64x = 134,078,978.73
  5. Step 5: Solve for x
    x = 134,078,978.73/12,340.64
  6. Step 6: Final answer
    x = 10,864.83

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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.