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Finding the Fourth Proportional to 23,563.84, 32,518.04 and 12,954.12

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Solution

The fourth proportional to 23,563.84, 32,518.04 and 12,954.12 is: 17,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.84 : 32,518.04 = 12,954.12 : x
  2. Step 2: Convert to fraction form
    23,563.84/32,518.04 = 12,954.12/x
  3. Step 3: Cross multiply
    23,563.84x = 32,518.04 × 12,954.12
  4. Step 4: Simplify right side
    23,563.84x = 421,242,592.32
  5. Step 5: Solve for x
    x = 421,242,592.32/23,563.84
  6. Step 6: Final answer
    x = 17,876.65

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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.