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Finding the Fourth Proportional to 12,533.59, 18,794.77 and 7,470.18

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Solution

The fourth proportional to 12,533.59, 18,794.77 and 7,470.18 is: 11,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.59 : 18,794.77 = 7,470.18 : x
  2. Step 2: Convert to fraction form
    12,533.59/18,794.77 = 7,470.18/x
  3. Step 3: Cross multiply
    12,533.59x = 18,794.77 × 7,470.18
  4. Step 4: Simplify right side
    12,533.59x = 140,400,314.96
  5. Step 5: Solve for x
    x = 140,400,314.96/12,533.59
  6. Step 6: Final answer
    x = 11,201.92

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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.