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Finding the Fourth Proportional to 12,074.18, 18,109.74 and 4,673.59

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Solution

The fourth proportional to 12,074.18, 18,109.74 and 4,673.59 is: 7,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.18 : 18,109.74 = 4,673.59 : x
  2. Step 2: Convert to fraction form
    12,074.18/18,109.74 = 4,673.59/x
  3. Step 3: Cross multiply
    12,074.18x = 18,109.74 × 4,673.59
  4. Step 4: Simplify right side
    12,074.18x = 84,637,499.77
  5. Step 5: Solve for x
    x = 84,637,499.77/12,074.18
  6. Step 6: Final answer
    x = 7,009.79

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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.