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Finding the Fourth Proportional to 13,462.22, 18,577.84 and 7,493.75

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Solution

The fourth proportional to 13,462.22, 18,577.84 and 7,493.75 is: 10,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.22 : 18,577.84 = 7,493.75 : x
  2. Step 2: Convert to fraction form
    13,462.22/18,577.84 = 7,493.75/x
  3. Step 3: Cross multiply
    13,462.22x = 18,577.84 × 7,493.75
  4. Step 4: Simplify right side
    13,462.22x = 139,217,688.50
  5. Step 5: Solve for x
    x = 139,217,688.50/13,462.22
  6. Step 6: Final answer
    x = 10,341.36

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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.