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Finding the Fourth Proportional to 13,817.84, 19,069.08 and 7,530.44

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Solution

The fourth proportional to 13,817.84, 19,069.08 and 7,530.44 is: 10,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.84 : 19,069.08 = 7,530.44 : x
  2. Step 2: Convert to fraction form
    13,817.84/19,069.08 = 7,530.44/x
  3. Step 3: Cross multiply
    13,817.84x = 19,069.08 × 7,530.44
  4. Step 4: Simplify right side
    13,817.84x = 143,598,562.80
  5. Step 5: Solve for x
    x = 143,598,562.80/13,817.84
  6. Step 6: Final answer
    x = 10,392.26

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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.