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Finding the Fourth Proportional to 23,593.63, 32,559.27 and 12,838.50

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Solution

The fourth proportional to 23,593.63, 32,559.27 and 12,838.50 is: 17,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,593.63 : 32,559.27 = 12,838.50 : x
  2. Step 2: Convert to fraction form
    23,593.63/32,559.27 = 12,838.50/x
  3. Step 3: Cross multiply
    23,593.63x = 32,559.27 × 12,838.50
  4. Step 4: Simplify right side
    23,593.63x = 418,012,025.03
  5. Step 5: Solve for x
    x = 418,012,025.03/23,593.63
  6. Step 6: Final answer
    x = 17,717.16

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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.