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Finding the Fourth Proportional to 21,900.19, 30,222.25 and 11,828.63

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Solution

The fourth proportional to 21,900.19, 30,222.25 and 11,828.63 is: 16,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.19 : 30,222.25 = 11,828.63 : x
  2. Step 2: Convert to fraction form
    21,900.19/30,222.25 = 11,828.63/x
  3. Step 3: Cross multiply
    21,900.19x = 30,222.25 × 11,828.63
  4. Step 4: Simplify right side
    21,900.19x = 357,487,813.02
  5. Step 5: Solve for x
    x = 357,487,813.02/21,900.19
  6. Step 6: Final answer
    x = 16,323.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.