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Finding the Fourth Proportional to 12,585.42, 18,860.22 and 9,272.46

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Solution

The fourth proportional to 12,585.42, 18,860.22 and 9,272.46 is: 13,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.42 : 18,860.22 = 9,272.46 : x
  2. Step 2: Convert to fraction form
    12,585.42/18,860.22 = 9,272.46/x
  3. Step 3: Cross multiply
    12,585.42x = 18,860.22 × 9,272.46
  4. Step 4: Simplify right side
    12,585.42x = 174,880,635.54
  5. Step 5: Solve for x
    x = 174,880,635.54/12,585.42
  6. Step 6: Final answer
    x = 13,895.49

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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.