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Finding the Fourth Proportional to 14,594.47, 20,138.52 and 9,214.90

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Solution

The fourth proportional to 14,594.47, 20,138.52 and 9,214.90 is: 12,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.47 : 20,138.52 = 9,214.90 : x
  2. Step 2: Convert to fraction form
    14,594.47/20,138.52 = 9,214.90/x
  3. Step 3: Cross multiply
    14,594.47x = 20,138.52 × 9,214.90
  4. Step 4: Simplify right side
    14,594.47x = 185,574,447.95
  5. Step 5: Solve for x
    x = 185,574,447.95/14,594.47
  6. Step 6: Final answer
    x = 12,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.