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Finding the Fourth Proportional to 13,655.27, 20,482.90 and 7,807.78

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Solution

The fourth proportional to 13,655.27, 20,482.90 and 7,807.78 is: 11,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.27 : 20,482.90 = 7,807.78 : x
  2. Step 2: Convert to fraction form
    13,655.27/20,482.90 = 7,807.78/x
  3. Step 3: Cross multiply
    13,655.27x = 20,482.90 × 7,807.78
  4. Step 4: Simplify right side
    13,655.27x = 159,925,906.24
  5. Step 5: Solve for x
    x = 159,925,906.24/13,655.27
  6. Step 6: Final answer
    x = 11,711.66

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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.