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Finding the Fourth Proportional to 13,785.77, 19,018.22 and 9,187.58

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Solution

The fourth proportional to 13,785.77, 19,018.22 and 9,187.58 is: 12,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.77 : 19,018.22 = 9,187.58 : x
  2. Step 2: Convert to fraction form
    13,785.77/19,018.22 = 9,187.58/x
  3. Step 3: Cross multiply
    13,785.77x = 19,018.22 × 9,187.58
  4. Step 4: Simplify right side
    13,785.77x = 174,731,276.68
  5. Step 5: Solve for x
    x = 174,731,276.68/13,785.77
  6. Step 6: Final answer
    x = 12,674.76

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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.