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Finding the Fourth Proportional to 16,507, 24,764.34 and 5,563

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Solution

The fourth proportional to 16,507, 24,764.34 and 5,563 is: 8,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507 : 24,764.34 = 5,563 : x
  2. Step 2: Convert to fraction form
    16,507/24,764.34 = 5,563/x
  3. Step 3: Cross multiply
    16,507x = 24,764.34 × 5,563
  4. Step 4: Simplify right side
    16,507x = 137,764,023.42
  5. Step 5: Solve for x
    x = 137,764,023.42/16,507
  6. Step 6: Final answer
    x = 8,345.79

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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.