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Finding the Fourth Proportional to 14,002.84, 19,324.68 and 8,034.46

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Solution

The fourth proportional to 14,002.84, 19,324.68 and 8,034.46 is: 11,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.84 : 19,324.68 = 8,034.46 : x
  2. Step 2: Convert to fraction form
    14,002.84/19,324.68 = 8,034.46/x
  3. Step 3: Cross multiply
    14,002.84x = 19,324.68 × 8,034.46
  4. Step 4: Simplify right side
    14,002.84x = 155,263,368.47
  5. Step 5: Solve for x
    x = 155,263,368.47/14,002.84
  6. Step 6: Final answer
    x = 11,087.99

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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.