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Finding the Fourth Proportional to 21,045.98, 31,546.76 and 7,002.25

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Solution

The fourth proportional to 21,045.98, 31,546.76 and 7,002.25 is: 10,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045.98 : 31,546.76 = 7,002.25 : x
  2. Step 2: Convert to fraction form
    21,045.98/31,546.76 = 7,002.25/x
  3. Step 3: Cross multiply
    21,045.98x = 31,546.76 × 7,002.25
  4. Step 4: Simplify right side
    21,045.98x = 220,898,238.85
  5. Step 5: Solve for x
    x = 220,898,238.85/21,045.98
  6. Step 6: Final answer
    x = 10,495.99

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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.