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Finding the Fourth Proportional to 14,594.60, 21,906.30 and 7,207.40

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Solution

The fourth proportional to 14,594.60, 21,906.30 and 7,207.40 is: 10,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.60 : 21,906.30 = 7,207.40 : x
  2. Step 2: Convert to fraction form
    14,594.60/21,906.30 = 7,207.40/x
  3. Step 3: Cross multiply
    14,594.60x = 21,906.30 × 7,207.40
  4. Step 4: Simplify right side
    14,594.60x = 157,887,466.62
  5. Step 5: Solve for x
    x = 157,887,466.62/14,594.60
  6. Step 6: Final answer
    x = 10,818.21

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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.