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Finding the Fourth Proportional to 12,109.32, 18,151.74 and 4,709.16

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Solution

The fourth proportional to 12,109.32, 18,151.74 and 4,709.16 is: 7,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.32 : 18,151.74 = 4,709.16 : x
  2. Step 2: Convert to fraction form
    12,109.32/18,151.74 = 4,709.16/x
  3. Step 3: Cross multiply
    12,109.32x = 18,151.74 × 4,709.16
  4. Step 4: Simplify right side
    12,109.32x = 85,479,447.94
  5. Step 5: Solve for x
    x = 85,479,447.94/12,109.32
  6. Step 6: Final answer
    x = 7,058.98

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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.