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Finding the Fourth Proportional to 14,970.87, 22,449.80 and 7,949.35

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Solution

The fourth proportional to 14,970.87, 22,449.80 and 7,949.35 is: 11,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.87 : 22,449.80 = 7,949.35 : x
  2. Step 2: Convert to fraction form
    14,970.87/22,449.80 = 7,949.35/x
  3. Step 3: Cross multiply
    14,970.87x = 22,449.80 × 7,949.35
  4. Step 4: Simplify right side
    14,970.87x = 178,461,365.57
  5. Step 5: Solve for x
    x = 178,461,365.57/14,970.87
  6. Step 6: Final answer
    x = 11,920.57

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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.