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Finding the Fourth Proportional to 12,803.72, 17,662.02 and 7,497.50

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Solution

The fourth proportional to 12,803.72, 17,662.02 and 7,497.50 is: 10,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.72 : 17,662.02 = 7,497.50 : x
  2. Step 2: Convert to fraction form
    12,803.72/17,662.02 = 7,497.50/x
  3. Step 3: Cross multiply
    12,803.72x = 17,662.02 × 7,497.50
  4. Step 4: Simplify right side
    12,803.72x = 132,420,994.95
  5. Step 5: Solve for x
    x = 132,420,994.95/12,803.72
  6. Step 6: Final answer
    x = 10,342.38

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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.