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Finding the Fourth Proportional to 21,215.25, 31,837.59 and 7,364.25

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Solution

The fourth proportional to 21,215.25, 31,837.59 and 7,364.25 is: 11,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.25 : 31,837.59 = 7,364.25 : x
  2. Step 2: Convert to fraction form
    21,215.25/31,837.59 = 7,364.25/x
  3. Step 3: Cross multiply
    21,215.25x = 31,837.59 × 7,364.25
  4. Step 4: Simplify right side
    21,215.25x = 234,459,972.16
  5. Step 5: Solve for x
    x = 234,459,972.16/21,215.25
  6. Step 6: Final answer
    x = 11,051.48

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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.