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Finding the Fourth Proportional to 30,408.86, 45,618.96 and 11,688.14

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Solution

The fourth proportional to 30,408.86, 45,618.96 and 11,688.14 is: 17,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.86 : 45,618.96 = 11,688.14 : x
  2. Step 2: Convert to fraction form
    30,408.86/45,618.96 = 11,688.14/x
  3. Step 3: Cross multiply
    30,408.86x = 45,618.96 × 11,688.14
  4. Step 4: Simplify right side
    30,408.86x = 533,200,791.13
  5. Step 5: Solve for x
    x = 533,200,791.13/30,408.86
  6. Step 6: Final answer
    x = 17,534.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.