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Finding the Fourth Proportional to 15,846.66, 23,760.27 and 7,069.50

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Solution

The fourth proportional to 15,846.66, 23,760.27 and 7,069.50 is: 10,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.66 : 23,760.27 = 7,069.50 : x
  2. Step 2: Convert to fraction form
    15,846.66/23,760.27 = 7,069.50/x
  3. Step 3: Cross multiply
    15,846.66x = 23,760.27 × 7,069.50
  4. Step 4: Simplify right side
    15,846.66x = 167,973,228.77
  5. Step 5: Solve for x
    x = 167,973,228.77/15,846.66
  6. Step 6: Final answer
    x = 10,599.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.