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Finding the Fourth Proportional to 19,957.47, 29,919.97 and 7,470.50

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Solution

The fourth proportional to 19,957.47, 29,919.97 and 7,470.50 is: 11,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.47 : 29,919.97 = 7,470.50 : x
  2. Step 2: Convert to fraction form
    19,957.47/29,919.97 = 7,470.50/x
  3. Step 3: Cross multiply
    19,957.47x = 29,919.97 × 7,470.50
  4. Step 4: Simplify right side
    19,957.47x = 223,517,135.89
  5. Step 5: Solve for x
    x = 223,517,135.89/19,957.47
  6. Step 6: Final answer
    x = 11,199.67

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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.