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Finding the Fourth Proportional to 16,506.81, 24,764.00 and 4,820.13

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Solution

The fourth proportional to 16,506.81, 24,764.00 and 4,820.13 is: 7,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.81 : 24,764.00 = 4,820.13 : x
  2. Step 2: Convert to fraction form
    16,506.81/24,764.00 = 4,820.13/x
  3. Step 3: Cross multiply
    16,506.81x = 24,764.00 × 4,820.13
  4. Step 4: Simplify right side
    16,506.81x = 119,365,675.22
  5. Step 5: Solve for x
    x = 119,365,675.22/16,506.81
  6. Step 6: Final answer
    x = 7,231.30

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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.