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Finding the Fourth Proportional to 22,443.40, 30,971.88 and 13,017.42

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Solution

The fourth proportional to 22,443.40, 30,971.88 and 13,017.42 is: 17,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.40 : 30,971.88 = 13,017.42 : x
  2. Step 2: Convert to fraction form
    22,443.40/30,971.88 = 13,017.42/x
  3. Step 3: Cross multiply
    22,443.40x = 30,971.88 × 13,017.42
  4. Step 4: Simplify right side
    22,443.40x = 403,173,970.15
  5. Step 5: Solve for x
    x = 403,173,970.15/22,443.40
  6. Step 6: Final answer
    x = 17,964.03

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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.