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Finding the Fourth Proportional to 14,594.44, 21,894.86 and 4,734.71

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Solution

The fourth proportional to 14,594.44, 21,894.86 and 4,734.71 is: 7,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.44 : 21,894.86 = 4,734.71 : x
  2. Step 2: Convert to fraction form
    14,594.44/21,894.86 = 4,734.71/x
  3. Step 3: Cross multiply
    14,594.44x = 21,894.86 × 4,734.71
  4. Step 4: Simplify right side
    14,594.44x = 103,665,788.92
  5. Step 5: Solve for x
    x = 103,665,788.92/14,594.44
  6. Step 6: Final answer
    x = 7,103.10

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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.