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Finding the Fourth Proportional to 12,006.66, 18,012.33 and 4,610.58

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Solution

The fourth proportional to 12,006.66, 18,012.33 and 4,610.58 is: 6,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.66 : 18,012.33 = 4,610.58 : x
  2. Step 2: Convert to fraction form
    12,006.66/18,012.33 = 4,610.58/x
  3. Step 3: Cross multiply
    12,006.66x = 18,012.33 × 4,610.58
  4. Step 4: Simplify right side
    12,006.66x = 83,047,288.45
  5. Step 5: Solve for x
    x = 83,047,288.45/12,006.66
  6. Step 6: Final answer
    x = 6,916.77

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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.