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Finding the Fourth Proportional to 22,923.20, 34,352.36 and 9,762.32

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Solution

The fourth proportional to 22,923.20, 34,352.36 and 9,762.32 is: 14,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923.20 : 34,352.36 = 9,762.32 : x
  2. Step 2: Convert to fraction form
    22,923.20/34,352.36 = 9,762.32/x
  3. Step 3: Cross multiply
    22,923.20x = 34,352.36 × 9,762.32
  4. Step 4: Simplify right side
    22,923.20x = 335,358,731.08
  5. Step 5: Solve for x
    x = 335,358,731.08/22,923.20
  6. Step 6: Final answer
    x = 14,629.66

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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.