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Finding the Fourth Proportional to 21,054.01, 31,576.74 and 7,722.46

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Solution

The fourth proportional to 21,054.01, 31,576.74 and 7,722.46 is: 11,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054.01 : 31,576.74 = 7,722.46 : x
  2. Step 2: Convert to fraction form
    21,054.01/31,576.74 = 7,722.46/x
  3. Step 3: Cross multiply
    21,054.01x = 31,576.74 × 7,722.46
  4. Step 4: Simplify right side
    21,054.01x = 243,850,258.65
  5. Step 5: Solve for x
    x = 243,850,258.65/21,054.01
  6. Step 6: Final answer
    x = 11,582.13

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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.