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Finding the Fourth Proportional to 16,535.74, 24,803.47 and 6,674.87

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Solution

The fourth proportional to 16,535.74, 24,803.47 and 6,674.87 is: 10,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.74 : 24,803.47 = 6,674.87 : x
  2. Step 2: Convert to fraction form
    16,535.74/24,803.47 = 6,674.87/x
  3. Step 3: Cross multiply
    16,535.74x = 24,803.47 × 6,674.87
  4. Step 4: Simplify right side
    16,535.74x = 165,559,868.63
  5. Step 5: Solve for x
    x = 165,559,868.63/16,535.74
  6. Step 6: Final answer
    x = 10,012.24

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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.