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Finding the Fourth Proportional to 21,015, 31,501.24 and 13,624.16

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Solution

The fourth proportional to 21,015, 31,501.24 and 13,624.16 is: 20,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015 : 31,501.24 = 13,624.16 : x
  2. Step 2: Convert to fraction form
    21,015/31,501.24 = 13,624.16/x
  3. Step 3: Cross multiply
    21,015x = 31,501.24 × 13,624.16
  4. Step 4: Simplify right side
    21,015x = 429,177,933.96
  5. Step 5: Solve for x
    x = 429,177,933.96/21,015
  6. Step 6: Final answer
    x = 20,422.46

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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.