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Finding the Fourth Proportional to 14,602.26, 21,903.78 and 4,214

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Solution

The fourth proportional to 14,602.26, 21,903.78 and 4,214 is: 6,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.26 : 21,903.78 = 4,214 : x
  2. Step 2: Convert to fraction form
    14,602.26/21,903.78 = 4,214/x
  3. Step 3: Cross multiply
    14,602.26x = 21,903.78 × 4,214
  4. Step 4: Simplify right side
    14,602.26x = 92,302,528.92
  5. Step 5: Solve for x
    x = 92,302,528.92/14,602.26
  6. Step 6: Final answer
    x = 6,321.11

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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.