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Finding the Fourth Proportional to 13,777.64, 20,656.05 and 7,111.24

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Solution

The fourth proportional to 13,777.64, 20,656.05 and 7,111.24 is: 10,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.64 : 20,656.05 = 7,111.24 : x
  2. Step 2: Convert to fraction form
    13,777.64/20,656.05 = 7,111.24/x
  3. Step 3: Cross multiply
    13,777.64x = 20,656.05 × 7,111.24
  4. Step 4: Simplify right side
    13,777.64x = 146,890,109.03
  5. Step 5: Solve for x
    x = 146,890,109.03/13,777.64
  6. Step 6: Final answer
    x = 10,661.49

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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.