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Finding the Fourth Proportional to 21,052.31, 31,571.89 and 7,009.06

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Solution

The fourth proportional to 21,052.31, 31,571.89 and 7,009.06 is: 10,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.31 : 31,571.89 = 7,009.06 : x
  2. Step 2: Convert to fraction form
    21,052.31/31,571.89 = 7,009.06/x
  3. Step 3: Cross multiply
    21,052.31x = 31,571.89 × 7,009.06
  4. Step 4: Simplify right side
    21,052.31x = 221,289,271.32
  5. Step 5: Solve for x
    x = 221,289,271.32/21,052.31
  6. Step 6: Final answer
    x = 10,511.40

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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.