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Finding the Fourth Proportional to 22,024.49, 30,394.02 and 11,953.02

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Solution

The fourth proportional to 22,024.49, 30,394.02 and 11,953.02 is: 16,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.49 : 30,394.02 = 11,953.02 : x
  2. Step 2: Convert to fraction form
    22,024.49/30,394.02 = 11,953.02/x
  3. Step 3: Cross multiply
    22,024.49x = 30,394.02 × 11,953.02
  4. Step 4: Simplify right side
    22,024.49x = 363,300,117.21
  5. Step 5: Solve for x
    x = 363,300,117.21/22,024.49
  6. Step 6: Final answer
    x = 16,495.28

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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.