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Finding the Fourth Proportional to 21,437.72, 32,131.76 and 12,680

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Solution

The fourth proportional to 21,437.72, 32,131.76 and 12,680 is: 19,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,437.72 : 32,131.76 = 12,680 : x
  2. Step 2: Convert to fraction form
    21,437.72/32,131.76 = 12,680/x
  3. Step 3: Cross multiply
    21,437.72x = 32,131.76 × 12,680
  4. Step 4: Simplify right side
    21,437.72x = 407,430,716.80
  5. Step 5: Solve for x
    x = 407,430,716.80/21,437.72
  6. Step 6: Final answer
    x = 19,005.32

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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.