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Finding the Fourth Proportional to 13,655.68, 20,464.32 and 7,803.52

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Solution

The fourth proportional to 13,655.68, 20,464.32 and 7,803.52 is: 11,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.68 : 20,464.32 = 7,803.52 : x
  2. Step 2: Convert to fraction form
    13,655.68/20,464.32 = 7,803.52/x
  3. Step 3: Cross multiply
    13,655.68x = 20,464.32 × 7,803.52
  4. Step 4: Simplify right side
    13,655.68x = 159,693,730.41
  5. Step 5: Solve for x
    x = 159,693,730.41/13,655.68
  6. Step 6: Final answer
    x = 11,694.31

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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.