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Finding the Fourth Proportional to 21,047.98, 31,573.38 and 7,007.44

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Solution

The fourth proportional to 21,047.98, 31,573.38 and 7,007.44 is: 10,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.98 : 31,573.38 = 7,007.44 : x
  2. Step 2: Convert to fraction form
    21,047.98/31,573.38 = 7,007.44/x
  3. Step 3: Cross multiply
    21,047.98x = 31,573.38 × 7,007.44
  4. Step 4: Simplify right side
    21,047.98x = 221,248,565.95
  5. Step 5: Solve for x
    x = 221,248,565.95/21,047.98
  6. Step 6: Final answer
    x = 10,511.63

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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.