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Finding the Fourth Proportional to 21,897.19, 30,218.12 and 11,825.63

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Solution

The fourth proportional to 21,897.19, 30,218.12 and 11,825.63 is: 16,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.19 : 30,218.12 = 11,825.63 : x
  2. Step 2: Convert to fraction form
    21,897.19/30,218.12 = 11,825.63/x
  3. Step 3: Cross multiply
    21,897.19x = 30,218.12 × 11,825.63
  4. Step 4: Simplify right side
    21,897.19x = 357,348,247.29
  5. Step 5: Solve for x
    x = 357,348,247.29/21,897.19
  6. Step 6: Final answer
    x = 16,319.37

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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.