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Finding the Fourth Proportional to 23,837.90, 35,762.64 and 7,196.94

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Solution

The fourth proportional to 23,837.90, 35,762.64 and 7,196.94 is: 10,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.90 : 35,762.64 = 7,196.94 : x
  2. Step 2: Convert to fraction form
    23,837.90/35,762.64 = 7,196.94/x
  3. Step 3: Cross multiply
    23,837.90x = 35,762.64 × 7,196.94
  4. Step 4: Simplify right side
    23,837.90x = 257,381,538.34
  5. Step 5: Solve for x
    x = 257,381,538.34/23,837.90
  6. Step 6: Final answer
    x = 10,797.16

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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.