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Finding the Fourth Proportional to 21,271.50, 31,921.83 and 7,420.50

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Solution

The fourth proportional to 21,271.50, 31,921.83 and 7,420.50 is: 11,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.50 : 31,921.83 = 7,420.50 : x
  2. Step 2: Convert to fraction form
    21,271.50/31,921.83 = 7,420.50/x
  3. Step 3: Cross multiply
    21,271.50x = 31,921.83 × 7,420.50
  4. Step 4: Simplify right side
    21,271.50x = 236,875,939.52
  5. Step 5: Solve for x
    x = 236,875,939.52/21,271.50
  6. Step 6: Final answer
    x = 11,135.84

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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.