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Finding the Fourth Proportional to 13,189.15, 19,780.65 and 6,174.00

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Solution

The fourth proportional to 13,189.15, 19,780.65 and 6,174.00 is: 9,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.15 : 19,780.65 = 6,174.00 : x
  2. Step 2: Convert to fraction form
    13,189.15/19,780.65 = 6,174.00/x
  3. Step 3: Cross multiply
    13,189.15x = 19,780.65 × 6,174.00
  4. Step 4: Simplify right side
    13,189.15x = 122,125,778.77
  5. Step 5: Solve for x
    x = 122,125,778.77/13,189.15
  6. Step 6: Final answer
    x = 9,259.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.