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Finding the Fourth Proportional to 23,683.16, 32,684.94 and 16,523.46

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Solution

The fourth proportional to 23,683.16, 32,684.94 and 16,523.46 is: 22,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.16 : 32,684.94 = 16,523.46 : x
  2. Step 2: Convert to fraction form
    23,683.16/32,684.94 = 16,523.46/x
  3. Step 3: Cross multiply
    23,683.16x = 32,684.94 × 16,523.46
  4. Step 4: Simplify right side
    23,683.16x = 540,068,298.69
  5. Step 5: Solve for x
    x = 540,068,298.69/23,683.16
  6. Step 6: Final answer
    x = 22,803.90

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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.