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Finding the Fourth Proportional to 16,281.72, 24,437.70 and 6,427.80

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Solution

The fourth proportional to 16,281.72, 24,437.70 and 6,427.80 is: 9,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.72 : 24,437.70 = 6,427.80 : x
  2. Step 2: Convert to fraction form
    16,281.72/24,437.70 = 6,427.80/x
  3. Step 3: Cross multiply
    16,281.72x = 24,437.70 × 6,427.80
  4. Step 4: Simplify right side
    16,281.72x = 157,080,648.06
  5. Step 5: Solve for x
    x = 157,080,648.06/16,281.72
  6. Step 6: Final answer
    x = 9,647.67

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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.