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Finding the Fourth Proportional to 13,270.64, 18,313.47 and 7,965.50

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Solution

The fourth proportional to 13,270.64, 18,313.47 and 7,965.50 is: 10,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.64 : 18,313.47 = 7,965.50 : x
  2. Step 2: Convert to fraction form
    13,270.64/18,313.47 = 7,965.50/x
  3. Step 3: Cross multiply
    13,270.64x = 18,313.47 × 7,965.50
  4. Step 4: Simplify right side
    13,270.64x = 145,875,853.72
  5. Step 5: Solve for x
    x = 145,875,853.72/13,270.64
  6. Step 6: Final answer
    x = 10,992.38

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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.