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Finding the Fourth Proportional to 16,782.76, 23,159.46 and 9,706.60

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Solution

The fourth proportional to 16,782.76, 23,159.46 and 9,706.60 is: 13,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.76 : 23,159.46 = 9,706.60 : x
  2. Step 2: Convert to fraction form
    16,782.76/23,159.46 = 9,706.60/x
  3. Step 3: Cross multiply
    16,782.76x = 23,159.46 × 9,706.60
  4. Step 4: Simplify right side
    16,782.76x = 224,799,614.44
  5. Step 5: Solve for x
    x = 224,799,614.44/16,782.76
  6. Step 6: Final answer
    x = 13,394.67

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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.