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Finding the Fourth Proportional to 23,002.51, 34,510.05 and 8,212.93

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Solution

The fourth proportional to 23,002.51, 34,510.05 and 8,212.93 is: 12,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.51 : 34,510.05 = 8,212.93 : x
  2. Step 2: Convert to fraction form
    23,002.51/34,510.05 = 8,212.93/x
  3. Step 3: Cross multiply
    23,002.51x = 34,510.05 × 8,212.93
  4. Step 4: Simplify right side
    23,002.51x = 283,428,624.95
  5. Step 5: Solve for x
    x = 283,428,624.95/23,002.51
  6. Step 6: Final answer
    x = 12,321.64

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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.