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Finding the Fourth Proportional to 21,042.32, 31,559.74 and 7,000.96

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Solution

The fourth proportional to 21,042.32, 31,559.74 and 7,000.96 is: 10,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.32 : 31,559.74 = 7,000.96 : x
  2. Step 2: Convert to fraction form
    21,042.32/31,559.74 = 7,000.96/x
  3. Step 3: Cross multiply
    21,042.32x = 31,559.74 × 7,000.96
  4. Step 4: Simplify right side
    21,042.32x = 220,948,477.35
  5. Step 5: Solve for x
    x = 220,948,477.35/21,042.32
  6. Step 6: Final answer
    x = 10,500.20

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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.