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Finding the Fourth Proportional to 12,532.83, 18,803.49 and 4,213.72

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Solution

The fourth proportional to 12,532.83, 18,803.49 and 4,213.72 is: 6,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.83 : 18,803.49 = 4,213.72 : x
  2. Step 2: Convert to fraction form
    12,532.83/18,803.49 = 4,213.72/x
  3. Step 3: Cross multiply
    12,532.83x = 18,803.49 × 4,213.72
  4. Step 4: Simplify right side
    12,532.83x = 79,232,641.88
  5. Step 5: Solve for x
    x = 79,232,641.88/12,532.83
  6. Step 6: Final answer
    x = 6,322.01

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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.