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Finding the Fourth Proportional to 30,406.86, 45,615.96 and 11,686.14

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Solution

The fourth proportional to 30,406.86, 45,615.96 and 11,686.14 is: 17,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.86 : 45,615.96 = 11,686.14 : x
  2. Step 2: Convert to fraction form
    30,406.86/45,615.96 = 11,686.14/x
  3. Step 3: Cross multiply
    30,406.86x = 45,615.96 × 11,686.14
  4. Step 4: Simplify right side
    30,406.86x = 533,074,494.79
  5. Step 5: Solve for x
    x = 533,074,494.79/30,406.86
  6. Step 6: Final answer
    x = 17,531.39

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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.