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Finding the Fourth Proportional to 23,274.44, 34,894.64 and 7,470.47

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Solution

The fourth proportional to 23,274.44, 34,894.64 and 7,470.47 is: 11,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274.44 : 34,894.64 = 7,470.47 : x
  2. Step 2: Convert to fraction form
    23,274.44/34,894.64 = 7,470.47/x
  3. Step 3: Cross multiply
    23,274.44x = 34,894.64 × 7,470.47
  4. Step 4: Simplify right side
    23,274.44x = 260,679,149.46
  5. Step 5: Solve for x
    x = 260,679,149.46/23,274.44
  6. Step 6: Final answer
    x = 11,200.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.