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Finding the Fourth Proportional to 23,002.10, 34,510.44 and 8,210.69

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Solution

The fourth proportional to 23,002.10, 34,510.44 and 8,210.69 is: 12,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.10 : 34,510.44 = 8,210.69 : x
  2. Step 2: Convert to fraction form
    23,002.10/34,510.44 = 8,210.69/x
  3. Step 3: Cross multiply
    23,002.10x = 34,510.44 × 8,210.69
  4. Step 4: Simplify right side
    23,002.10x = 283,354,524.60
  5. Step 5: Solve for x
    x = 283,354,524.60/23,002.10
  6. Step 6: Final answer
    x = 12,318.64

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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.