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Finding the Fourth Proportional to 18,148.75, 27,197.58 and 14,434.50

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Solution

The fourth proportional to 18,148.75, 27,197.58 and 14,434.50 is: 21,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148.75 : 27,197.58 = 14,434.50 : x
  2. Step 2: Convert to fraction form
    18,148.75/27,197.58 = 14,434.50/x
  3. Step 3: Cross multiply
    18,148.75x = 27,197.58 × 14,434.50
  4. Step 4: Simplify right side
    18,148.75x = 392,583,468.51
  5. Step 5: Solve for x
    x = 392,583,468.51/18,148.75
  6. Step 6: Final answer
    x = 21,631.43

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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.