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Finding the Fourth Proportional to 13,817.84, 19,068.99 and 7,530.62

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Solution

The fourth proportional to 13,817.84, 19,068.99 and 7,530.62 is: 10,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.84 : 19,068.99 = 7,530.62 : x
  2. Step 2: Convert to fraction form
    13,817.84/19,068.99 = 7,530.62/x
  3. Step 3: Cross multiply
    13,817.84x = 19,068.99 × 7,530.62
  4. Step 4: Simplify right side
    13,817.84x = 143,601,317.47
  5. Step 5: Solve for x
    x = 143,601,317.47/13,817.84
  6. Step 6: Final answer
    x = 10,392.46

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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.