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Finding the Fourth Proportional to 13,666.96, 20,500.98 and 3,807.10

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Solution

The fourth proportional to 13,666.96, 20,500.98 and 3,807.10 is: 5,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.96 : 20,500.98 = 3,807.10 : x
  2. Step 2: Convert to fraction form
    13,666.96/20,500.98 = 3,807.10/x
  3. Step 3: Cross multiply
    13,666.96x = 20,500.98 × 3,807.10
  4. Step 4: Simplify right side
    13,666.96x = 78,049,159.42
  5. Step 5: Solve for x
    x = 78,049,159.42/13,666.96
  6. Step 6: Final answer
    x = 5,710.79

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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.