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Finding the Fourth Proportional to 13,034.84, 19,537.13 and 6,000.08

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Solution

The fourth proportional to 13,034.84, 19,537.13 and 6,000.08 is: 8,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.84 : 19,537.13 = 6,000.08 : x
  2. Step 2: Convert to fraction form
    13,034.84/19,537.13 = 6,000.08/x
  3. Step 3: Cross multiply
    13,034.84x = 19,537.13 × 6,000.08
  4. Step 4: Simplify right side
    13,034.84x = 117,224,406.81
  5. Step 5: Solve for x
    x = 117,224,406.81/13,034.84
  6. Step 6: Final answer
    x = 8,993.16

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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.