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Finding the Fourth Proportional to 12,047.67, 18,070.02 and 3,283.47

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Solution

The fourth proportional to 12,047.67, 18,070.02 and 3,283.47 is: 4,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.67 : 18,070.02 = 3,283.47 : x
  2. Step 2: Convert to fraction form
    12,047.67/18,070.02 = 3,283.47/x
  3. Step 3: Cross multiply
    12,047.67x = 18,070.02 × 3,283.47
  4. Step 4: Simplify right side
    12,047.67x = 59,332,368.57
  5. Step 5: Solve for x
    x = 59,332,368.57/12,047.67
  6. Step 6: Final answer
    x = 4,924.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.