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Finding the Fourth Proportional to 23,071.25, 31,841.26 and 13,002.17

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Solution

The fourth proportional to 23,071.25, 31,841.26 and 13,002.17 is: 17,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.25 : 31,841.26 = 13,002.17 : x
  2. Step 2: Convert to fraction form
    23,071.25/31,841.26 = 13,002.17/x
  3. Step 3: Cross multiply
    23,071.25x = 31,841.26 × 13,002.17
  4. Step 4: Simplify right side
    23,071.25x = 414,005,356.96
  5. Step 5: Solve for x
    x = 414,005,356.96/23,071.25
  6. Step 6: Final answer
    x = 17,944.64

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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.