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Finding the Fourth Proportional to 23,776.17, 32,811.63 and 13,021.50

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Solution

The fourth proportional to 23,776.17, 32,811.63 and 13,021.50 is: 17,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.17 : 32,811.63 = 13,021.50 : x
  2. Step 2: Convert to fraction form
    23,776.17/32,811.63 = 13,021.50/x
  3. Step 3: Cross multiply
    23,776.17x = 32,811.63 × 13,021.50
  4. Step 4: Simplify right side
    23,776.17x = 427,256,640.05
  5. Step 5: Solve for x
    x = 427,256,640.05/23,776.17
  6. Step 6: Final answer
    x = 17,969.95

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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.