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Finding the Fourth Proportional to 22,454.73, 30,985.07 and 13,021.47

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Solution

The fourth proportional to 22,454.73, 30,985.07 and 13,021.47 is: 17,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.73 : 30,985.07 = 13,021.47 : x
  2. Step 2: Convert to fraction form
    22,454.73/30,985.07 = 13,021.47/x
  3. Step 3: Cross multiply
    22,454.73x = 30,985.07 × 13,021.47
  4. Step 4: Simplify right side
    22,454.73x = 403,471,094.35
  5. Step 5: Solve for x
    x = 403,471,094.35/22,454.73
  6. Step 6: Final answer
    x = 17,968.20

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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.