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Finding the Fourth Proportional to 13,635.18, 18,816.04 and 7,585.40

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Solution

The fourth proportional to 13,635.18, 18,816.04 and 7,585.40 is: 10,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.18 : 18,816.04 = 7,585.40 : x
  2. Step 2: Convert to fraction form
    13,635.18/18,816.04 = 7,585.40/x
  3. Step 3: Cross multiply
    13,635.18x = 18,816.04 × 7,585.40
  4. Step 4: Simplify right side
    13,635.18x = 142,727,189.82
  5. Step 5: Solve for x
    x = 142,727,189.82/13,635.18
  6. Step 6: Final answer
    x = 10,467.57

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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.