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Finding the Fourth Proportional to 12,815.70, 17,685.73 and 7,150.35

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Solution

The fourth proportional to 12,815.70, 17,685.73 and 7,150.35 is: 9,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.70 : 17,685.73 = 7,150.35 : x
  2. Step 2: Convert to fraction form
    12,815.70/17,685.73 = 7,150.35/x
  3. Step 3: Cross multiply
    12,815.70x = 17,685.73 × 7,150.35
  4. Step 4: Simplify right side
    12,815.70x = 126,459,070.19
  5. Step 5: Solve for x
    x = 126,459,070.19/12,815.70
  6. Step 6: Final answer
    x = 9,867.51

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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.