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Finding the Fourth Proportional to 21,515.94, 32,275.71 and 8,185.50

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Solution

The fourth proportional to 21,515.94, 32,275.71 and 8,185.50 is: 12,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,515.94 : 32,275.71 = 8,185.50 : x
  2. Step 2: Convert to fraction form
    21,515.94/32,275.71 = 8,185.50/x
  3. Step 3: Cross multiply
    21,515.94x = 32,275.71 × 8,185.50
  4. Step 4: Simplify right side
    21,515.94x = 264,192,824.21
  5. Step 5: Solve for x
    x = 264,192,824.21/21,515.94
  6. Step 6: Final answer
    x = 12,278.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.