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Finding the Fourth Proportional to 12,901.74, 17,803.38 and 7,235.73

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Solution

The fourth proportional to 12,901.74, 17,803.38 and 7,235.73 is: 9,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.74 : 17,803.38 = 7,235.73 : x
  2. Step 2: Convert to fraction form
    12,901.74/17,803.38 = 7,235.73/x
  3. Step 3: Cross multiply
    12,901.74x = 17,803.38 × 7,235.73
  4. Step 4: Simplify right side
    12,901.74x = 128,820,450.77
  5. Step 5: Solve for x
    x = 128,820,450.77/12,901.74
  6. Step 6: Final answer
    x = 9,984.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.