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Finding the Fourth Proportional to 23,706.37, 32,713.71 and 13,095.76

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Solution

The fourth proportional to 23,706.37, 32,713.71 and 13,095.76 is: 18,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.37 : 32,713.71 = 13,095.76 : x
  2. Step 2: Convert to fraction form
    23,706.37/32,713.71 = 13,095.76/x
  3. Step 3: Cross multiply
    23,706.37x = 32,713.71 × 13,095.76
  4. Step 4: Simplify right side
    23,706.37x = 428,410,894.87
  5. Step 5: Solve for x
    x = 428,410,894.87/23,706.37
  6. Step 6: Final answer
    x = 18,071.55

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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.