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Finding the Fourth Proportional to 14,134.84, 19,506.39 and 8,002.03

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Solution

The fourth proportional to 14,134.84, 19,506.39 and 8,002.03 is: 11,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.84 : 19,506.39 = 8,002.03 : x
  2. Step 2: Convert to fraction form
    14,134.84/19,506.39 = 8,002.03/x
  3. Step 3: Cross multiply
    14,134.84x = 19,506.39 × 8,002.03
  4. Step 4: Simplify right side
    14,134.84x = 156,090,717.97
  5. Step 5: Solve for x
    x = 156,090,717.97/14,134.84
  6. Step 6: Final answer
    x = 11,042.98

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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.