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Finding the Fourth Proportional to 12,856.19, 17,740.62 and 7,190.64

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Solution

The fourth proportional to 12,856.19, 17,740.62 and 7,190.64 is: 9,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.19 : 17,740.62 = 7,190.64 : x
  2. Step 2: Convert to fraction form
    12,856.19/17,740.62 = 7,190.64/x
  3. Step 3: Cross multiply
    12,856.19x = 17,740.62 × 7,190.64
  4. Step 4: Simplify right side
    12,856.19x = 127,566,411.80
  5. Step 5: Solve for x
    x = 127,566,411.80/12,856.19
  6. Step 6: Final answer
    x = 9,922.57

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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.