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Finding the Fourth Proportional to 14,507.80, 20,005.56 and 10,738.87

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Solution

The fourth proportional to 14,507.80, 20,005.56 and 10,738.87 is: 14,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.80 : 20,005.56 = 10,738.87 : x
  2. Step 2: Convert to fraction form
    14,507.80/20,005.56 = 10,738.87/x
  3. Step 3: Cross multiply
    14,507.80x = 20,005.56 × 10,738.87
  4. Step 4: Simplify right side
    14,507.80x = 214,837,108.12
  5. Step 5: Solve for x
    x = 214,837,108.12/14,507.80
  6. Step 6: Final answer
    x = 14,808.39

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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.