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Finding the Fourth Proportional to 13,630.23, 18,807.42 and 7,580.31

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Solution

The fourth proportional to 13,630.23, 18,807.42 and 7,580.31 is: 10,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.23 : 18,807.42 = 7,580.31 : x
  2. Step 2: Convert to fraction form
    13,630.23/18,807.42 = 7,580.31/x
  3. Step 3: Cross multiply
    13,630.23x = 18,807.42 × 7,580.31
  4. Step 4: Simplify right side
    13,630.23x = 142,566,073.90
  5. Step 5: Solve for x
    x = 142,566,073.90/13,630.23
  6. Step 6: Final answer
    x = 10,459.55

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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.