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Finding the Fourth Proportional to 13,534.37, 18,677.35 and 7,566.02

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Solution

The fourth proportional to 13,534.37, 18,677.35 and 7,566.02 is: 10,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.37 : 18,677.35 = 7,566.02 : x
  2. Step 2: Convert to fraction form
    13,534.37/18,677.35 = 7,566.02/x
  3. Step 3: Cross multiply
    13,534.37x = 18,677.35 × 7,566.02
  4. Step 4: Simplify right side
    13,534.37x = 141,313,165.82
  5. Step 5: Solve for x
    x = 141,313,165.82/13,534.37
  6. Step 6: Final answer
    x = 10,441.06

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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.