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Finding the Fourth Proportional to 13,003.84, 19,513.76 and 6,079.04

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Solution

The fourth proportional to 13,003.84, 19,513.76 and 6,079.04 is: 9,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.84 : 19,513.76 = 6,079.04 : x
  2. Step 2: Convert to fraction form
    13,003.84/19,513.76 = 6,079.04/x
  3. Step 3: Cross multiply
    13,003.84x = 19,513.76 × 6,079.04
  4. Step 4: Simplify right side
    13,003.84x = 118,624,927.59
  5. Step 5: Solve for x
    x = 118,624,927.59/13,003.84
  6. Step 6: Final answer
    x = 9,122.30

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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.