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Finding the Fourth Proportional to 13,047.80, 19,549.34 and 8,765.50

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Solution

The fourth proportional to 13,047.80, 19,549.34 and 8,765.50 is: 13,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.80 : 19,549.34 = 8,765.50 : x
  2. Step 2: Convert to fraction form
    13,047.80/19,549.34 = 8,765.50/x
  3. Step 3: Cross multiply
    13,047.80x = 19,549.34 × 8,765.50
  4. Step 4: Simplify right side
    13,047.80x = 171,359,739.77
  5. Step 5: Solve for x
    x = 171,359,739.77/13,047.80
  6. Step 6: Final answer
    x = 13,133.23

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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.