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Finding the Fourth Proportional to 30,683.86, 42,343.47 and 17,254.83

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Solution

The fourth proportional to 30,683.86, 42,343.47 and 17,254.83 is: 23,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.86 : 42,343.47 = 17,254.83 : x
  2. Step 2: Convert to fraction form
    30,683.86/42,343.47 = 17,254.83/x
  3. Step 3: Cross multiply
    30,683.86x = 42,343.47 × 17,254.83
  4. Step 4: Simplify right side
    30,683.86x = 730,629,376.46
  5. Step 5: Solve for x
    x = 730,629,376.46/30,683.86
  6. Step 6: Final answer
    x = 23,811.52

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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.