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Finding the Fourth Proportional to 29,683.25, 40,962.95 and 16,071.42

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Solution

The fourth proportional to 29,683.25, 40,962.95 and 16,071.42 is: 22,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.25 : 40,962.95 = 16,071.42 : x
  2. Step 2: Convert to fraction form
    29,683.25/40,962.95 = 16,071.42/x
  3. Step 3: Cross multiply
    29,683.25x = 40,962.95 × 16,071.42
  4. Step 4: Simplify right side
    29,683.25x = 658,332,907.41
  5. Step 5: Solve for x
    x = 658,332,907.41/29,683.25
  6. Step 6: Final answer
    x = 22,178.60

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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.