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Finding the Fourth Proportional to 23,874.50, 32,946.50 and 13,263.90

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Solution

The fourth proportional to 23,874.50, 32,946.50 and 13,263.90 is: 18,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.50 : 32,946.50 = 13,263.90 : x
  2. Step 2: Convert to fraction form
    23,874.50/32,946.50 = 13,263.90/x
  3. Step 3: Cross multiply
    23,874.50x = 32,946.50 × 13,263.90
  4. Step 4: Simplify right side
    23,874.50x = 436,999,015.03
  5. Step 5: Solve for x
    x = 436,999,015.03/23,874.50
  6. Step 6: Final answer
    x = 18,304.01

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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.