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Finding the Fourth Proportional to 23,890.26, 32,968.77 and 14,943

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Solution

The fourth proportional to 23,890.26, 32,968.77 and 14,943 is: 20,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,890.26 : 32,968.77 = 14,943 : x
  2. Step 2: Convert to fraction form
    23,890.26/32,968.77 = 14,943/x
  3. Step 3: Cross multiply
    23,890.26x = 32,968.77 × 14,943
  4. Step 4: Simplify right side
    23,890.26x = 492,652,330.11
  5. Step 5: Solve for x
    x = 492,652,330.11/23,890.26
  6. Step 6: Final answer
    x = 20,621.47

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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.