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Finding the Fourth Proportional to 16,510.40, 24,823.20 and 16,164.80

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Solution

The fourth proportional to 16,510.40, 24,823.20 and 16,164.80 is: 24,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.40 : 24,823.20 = 16,164.80 : x
  2. Step 2: Convert to fraction form
    16,510.40/24,823.20 = 16,164.80/x
  3. Step 3: Cross multiply
    16,510.40x = 24,823.20 × 16,164.80
  4. Step 4: Simplify right side
    16,510.40x = 401,262,063.36
  5. Step 5: Solve for x
    x = 401,262,063.36/16,510.40
  6. Step 6: Final answer
    x = 24,303.59

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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.