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Finding the Fourth Proportional to 21,948, 30,288.72 and 12,012

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Solution

The fourth proportional to 21,948, 30,288.72 and 12,012 is: 16,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948 : 30,288.72 = 12,012 : x
  2. Step 2: Convert to fraction form
    21,948/30,288.72 = 12,012/x
  3. Step 3: Cross multiply
    21,948x = 30,288.72 × 12,012
  4. Step 4: Simplify right side
    21,948x = 363,828,104.64
  5. Step 5: Solve for x
    x = 363,828,104.64/21,948
  6. Step 6: Final answer
    x = 16,576.82

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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.