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Finding the Fourth Proportional to 13,974.68, 19,271.76 and 9,186.14

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Solution

The fourth proportional to 13,974.68, 19,271.76 and 9,186.14 is: 12,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.68 : 19,271.76 = 9,186.14 : x
  2. Step 2: Convert to fraction form
    13,974.68/19,271.76 = 9,186.14/x
  3. Step 3: Cross multiply
    13,974.68x = 19,271.76 × 9,186.14
  4. Step 4: Simplify right side
    13,974.68x = 177,033,085.41
  5. Step 5: Solve for x
    x = 177,033,085.41/13,974.68
  6. Step 6: Final answer
    x = 12,668.13

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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.