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Finding the Fourth Proportional to 13,553.44, 18,703.84 and 7,585.66

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Solution

The fourth proportional to 13,553.44, 18,703.84 and 7,585.66 is: 10,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.44 : 18,703.84 = 7,585.66 : x
  2. Step 2: Convert to fraction form
    13,553.44/18,703.84 = 7,585.66/x
  3. Step 3: Cross multiply
    13,553.44x = 18,703.84 × 7,585.66
  4. Step 4: Simplify right side
    13,553.44x = 141,880,905.21
  5. Step 5: Solve for x
    x = 141,880,905.21/13,553.44
  6. Step 6: Final answer
    x = 10,468.26

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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.