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Finding the Fourth Proportional to 21,019.24, 31,529.52 and 7,869.10

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Solution

The fourth proportional to 21,019.24, 31,529.52 and 7,869.10 is: 11,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.24 : 31,529.52 = 7,869.10 : x
  2. Step 2: Convert to fraction form
    21,019.24/31,529.52 = 7,869.10/x
  3. Step 3: Cross multiply
    21,019.24x = 31,529.52 × 7,869.10
  4. Step 4: Simplify right side
    21,019.24x = 248,108,945.83
  5. Step 5: Solve for x
    x = 248,108,945.83/21,019.24
  6. Step 6: Final answer
    x = 11,803.90

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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.