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Finding the Fourth Proportional to 12,064.98, 18,109.17 and 5,829.47

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Solution

The fourth proportional to 12,064.98, 18,109.17 and 5,829.47 is: 8,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.98 : 18,109.17 = 5,829.47 : x
  2. Step 2: Convert to fraction form
    12,064.98/18,109.17 = 5,829.47/x
  3. Step 3: Cross multiply
    12,064.98x = 18,109.17 × 5,829.47
  4. Step 4: Simplify right side
    12,064.98x = 105,566,840.60
  5. Step 5: Solve for x
    x = 105,566,840.60/12,064.98
  6. Step 6: Final answer
    x = 8,749.85

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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.