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Finding the Fourth Proportional to 21,631.65, 32,441.19 and 8,303.70

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Solution

The fourth proportional to 21,631.65, 32,441.19 and 8,303.70 is: 12,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,631.65 : 32,441.19 = 8,303.70 : x
  2. Step 2: Convert to fraction form
    21,631.65/32,441.19 = 8,303.70/x
  3. Step 3: Cross multiply
    21,631.65x = 32,441.19 × 8,303.70
  4. Step 4: Simplify right side
    21,631.65x = 269,381,909.40
  5. Step 5: Solve for x
    x = 269,381,909.40/21,631.65
  6. Step 6: Final answer
    x = 12,453.14

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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.