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Finding the Fourth Proportional to 23,718.54, 32,729 and 13,106.72

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Solution

The fourth proportional to 23,718.54, 32,729 and 13,106.72 is: 18,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.54 : 32,729 = 13,106.72 : x
  2. Step 2: Convert to fraction form
    23,718.54/32,729 = 13,106.72/x
  3. Step 3: Cross multiply
    23,718.54x = 32,729 × 13,106.72
  4. Step 4: Simplify right side
    23,718.54x = 428,969,838.88
  5. Step 5: Solve for x
    x = 428,969,838.88/23,718.54
  6. Step 6: Final answer
    x = 18,085.85

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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.