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Finding the Fourth Proportional to 23,544.74, 35,303.28 and 9,505.23

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Solution

The fourth proportional to 23,544.74, 35,303.28 and 9,505.23 is: 14,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544.74 : 35,303.28 = 9,505.23 : x
  2. Step 2: Convert to fraction form
    23,544.74/35,303.28 = 9,505.23/x
  3. Step 3: Cross multiply
    23,544.74x = 35,303.28 × 9,505.23
  4. Step 4: Simplify right side
    23,544.74x = 335,565,826.70
  5. Step 5: Solve for x
    x = 335,565,826.70/23,544.74
  6. Step 6: Final answer
    x = 14,252.26

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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.