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Finding the Fourth Proportional to 13,112.71, 19,686.22 and 7,785.62

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Solution

The fourth proportional to 13,112.71, 19,686.22 and 7,785.62 is: 11,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.71 : 19,686.22 = 7,785.62 : x
  2. Step 2: Convert to fraction form
    13,112.71/19,686.22 = 7,785.62/x
  3. Step 3: Cross multiply
    13,112.71x = 19,686.22 × 7,785.62
  4. Step 4: Simplify right side
    13,112.71x = 153,269,353.51
  5. Step 5: Solve for x
    x = 153,269,353.51/13,112.71
  6. Step 6: Final answer
    x = 11,688.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.