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Finding the Fourth Proportional to 23,641.81, 35,469.55 and 7,002.16

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Solution

The fourth proportional to 23,641.81, 35,469.55 and 7,002.16 is: 10,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.81 : 35,469.55 = 7,002.16 : x
  2. Step 2: Convert to fraction form
    23,641.81/35,469.55 = 7,002.16/x
  3. Step 3: Cross multiply
    23,641.81x = 35,469.55 × 7,002.16
  4. Step 4: Simplify right side
    23,641.81x = 248,363,439.11
  5. Step 5: Solve for x
    x = 248,363,439.11/23,641.81
  6. Step 6: Final answer
    x = 10,505.26

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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.