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Finding the Fourth Proportional to 14,573.84, 21,861 and 4,185.60

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Solution

The fourth proportional to 14,573.84, 21,861 and 4,185.60 is: 6,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.84 : 21,861 = 4,185.60 : x
  2. Step 2: Convert to fraction form
    14,573.84/21,861 = 4,185.60/x
  3. Step 3: Cross multiply
    14,573.84x = 21,861 × 4,185.60
  4. Step 4: Simplify right side
    14,573.84x = 91,501,401.60
  5. Step 5: Solve for x
    x = 91,501,401.60/14,573.84
  6. Step 6: Final answer
    x = 6,278.47

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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.