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Finding the Fourth Proportional to 13,149.90, 19,713.11 and 4,827.98

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Solution

The fourth proportional to 13,149.90, 19,713.11 and 4,827.98 is: 7,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.90 : 19,713.11 = 4,827.98 : x
  2. Step 2: Convert to fraction form
    13,149.90/19,713.11 = 4,827.98/x
  3. Step 3: Cross multiply
    13,149.90x = 19,713.11 × 4,827.98
  4. Step 4: Simplify right side
    13,149.90x = 95,174,525.96
  5. Step 5: Solve for x
    x = 95,174,525.96/13,149.90
  6. Step 6: Final answer
    x = 7,237.66

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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.