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Finding the Fourth Proportional to 22,453.98, 30,984.30 and 13,021.50

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Solution

The fourth proportional to 22,453.98, 30,984.30 and 13,021.50 is: 17,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.98 : 30,984.30 = 13,021.50 : x
  2. Step 2: Convert to fraction form
    22,453.98/30,984.30 = 13,021.50/x
  3. Step 3: Cross multiply
    22,453.98x = 30,984.30 × 13,021.50
  4. Step 4: Simplify right side
    22,453.98x = 403,462,062.45
  5. Step 5: Solve for x
    x = 403,462,062.45/22,453.98
  6. Step 6: Final answer
    x = 17,968.40

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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.