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Finding the Fourth Proportional to 23,106.57, 34,664.13 and 7,315.58

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Solution

The fourth proportional to 23,106.57, 34,664.13 and 7,315.58 is: 10,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.57 : 34,664.13 = 7,315.58 : x
  2. Step 2: Convert to fraction form
    23,106.57/34,664.13 = 7,315.58/x
  3. Step 3: Cross multiply
    23,106.57x = 34,664.13 × 7,315.58
  4. Step 4: Simplify right side
    23,106.57x = 253,588,042.82
  5. Step 5: Solve for x
    x = 253,588,042.82/23,106.57
  6. Step 6: Final answer
    x = 10,974.72

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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.