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Finding the Fourth Proportional to 12,946.89, 17,866.27 and 7,281.88

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Solution

The fourth proportional to 12,946.89, 17,866.27 and 7,281.88 is: 10,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.89 : 17,866.27 = 7,281.88 : x
  2. Step 2: Convert to fraction form
    12,946.89/17,866.27 = 7,281.88/x
  3. Step 3: Cross multiply
    12,946.89x = 17,866.27 × 7,281.88
  4. Step 4: Simplify right side
    12,946.89x = 130,100,034.19
  5. Step 5: Solve for x
    x = 130,100,034.19/12,946.89
  6. Step 6: Final answer
    x = 10,048.75

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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.