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Finding the Fourth Proportional to 12,017.44, 16,581 and 7,301.80

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Solution

The fourth proportional to 12,017.44, 16,581 and 7,301.80 is: 10,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.44 : 16,581 = 7,301.80 : x
  2. Step 2: Convert to fraction form
    12,017.44/16,581 = 7,301.80/x
  3. Step 3: Cross multiply
    12,017.44x = 16,581 × 7,301.80
  4. Step 4: Simplify right side
    12,017.44x = 121,071,145.80
  5. Step 5: Solve for x
    x = 121,071,145.80/12,017.44
  6. Step 6: Final answer
    x = 10,074.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.