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Finding the Fourth Proportional to 21,897.72, 30,207.38 and 13,828.45

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Solution

The fourth proportional to 21,897.72, 30,207.38 and 13,828.45 is: 19,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.72 : 30,207.38 = 13,828.45 : x
  2. Step 2: Convert to fraction form
    21,897.72/30,207.38 = 13,828.45/x
  3. Step 3: Cross multiply
    21,897.72x = 30,207.38 × 13,828.45
  4. Step 4: Simplify right side
    21,897.72x = 417,721,243.96
  5. Step 5: Solve for x
    x = 417,721,243.96/21,897.72
  6. Step 6: Final answer
    x = 19,076.02

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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.