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Finding the Fourth Proportional to 13,534.56, 18,677.64 and 7,566.22

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Solution

The fourth proportional to 13,534.56, 18,677.64 and 7,566.22 is: 10,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.56 : 18,677.64 = 7,566.22 : x
  2. Step 2: Convert to fraction form
    13,534.56/18,677.64 = 7,566.22/x
  3. Step 3: Cross multiply
    13,534.56x = 18,677.64 × 7,566.22
  4. Step 4: Simplify right side
    13,534.56x = 141,319,133.32
  5. Step 5: Solve for x
    x = 141,319,133.32/13,534.56
  6. Step 6: Final answer
    x = 10,441.35

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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.