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Finding the Fourth Proportional to 12,946.21, 17,866.42 and 7,282.74

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Solution

The fourth proportional to 12,946.21, 17,866.42 and 7,282.74 is: 10,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.21 : 17,866.42 = 7,282.74 : x
  2. Step 2: Convert to fraction form
    12,946.21/17,866.42 = 7,282.74/x
  3. Step 3: Cross multiply
    12,946.21x = 17,866.42 × 7,282.74
  4. Step 4: Simplify right side
    12,946.21x = 130,116,491.59
  5. Step 5: Solve for x
    x = 130,116,491.59/12,946.21
  6. Step 6: Final answer
    x = 10,050.55

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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.