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Finding the Fourth Proportional to 13,534.89, 18,678.57 and 7,566.81

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Solution

The fourth proportional to 13,534.89, 18,678.57 and 7,566.81 is: 10,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.89 : 18,678.57 = 7,566.81 : x
  2. Step 2: Convert to fraction form
    13,534.89/18,678.57 = 7,566.81/x
  3. Step 3: Cross multiply
    13,534.89x = 18,678.57 × 7,566.81
  4. Step 4: Simplify right side
    13,534.89x = 141,337,190.26
  5. Step 5: Solve for x
    x = 141,337,190.26/13,534.89
  6. Step 6: Final answer
    x = 10,442.43

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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.