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Finding the Fourth Proportional to 21,116.34, 31,663.77 and 7,071.32

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Solution

The fourth proportional to 21,116.34, 31,663.77 and 7,071.32 is: 10,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.34 : 31,663.77 = 7,071.32 : x
  2. Step 2: Convert to fraction form
    21,116.34/31,663.77 = 7,071.32/x
  3. Step 3: Cross multiply
    21,116.34x = 31,663.77 × 7,071.32
  4. Step 4: Simplify right side
    21,116.34x = 223,904,491.76
  5. Step 5: Solve for x
    x = 223,904,491.76/21,116.34
  6. Step 6: Final answer
    x = 10,603.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.