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Finding the Fourth Proportional to 13,823.52, 19,070.46 and 8,785.05

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Solution

The fourth proportional to 13,823.52, 19,070.46 and 8,785.05 is: 12,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.52 : 19,070.46 = 8,785.05 : x
  2. Step 2: Convert to fraction form
    13,823.52/19,070.46 = 8,785.05/x
  3. Step 3: Cross multiply
    13,823.52x = 19,070.46 × 8,785.05
  4. Step 4: Simplify right side
    13,823.52x = 167,534,944.62
  5. Step 5: Solve for x
    x = 167,534,944.62/13,823.52
  6. Step 6: Final answer
    x = 12,119.56

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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.