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Finding the Fourth Proportional to 14,171.90, 19,558.50 and 7,799.77

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Solution

The fourth proportional to 14,171.90, 19,558.50 and 7,799.77 is: 10,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.90 : 19,558.50 = 7,799.77 : x
  2. Step 2: Convert to fraction form
    14,171.90/19,558.50 = 7,799.77/x
  3. Step 3: Cross multiply
    14,171.90x = 19,558.50 × 7,799.77
  4. Step 4: Simplify right side
    14,171.90x = 152,551,703.75
  5. Step 5: Solve for x
    x = 152,551,703.75/14,171.90
  6. Step 6: Final answer
    x = 10,764.38

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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.