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Finding the Fourth Proportional to 21,225.36, 31,837.68 and 7,374

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Solution

The fourth proportional to 21,225.36, 31,837.68 and 7,374 is: 11,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.36 : 31,837.68 = 7,374 : x
  2. Step 2: Convert to fraction form
    21,225.36/31,837.68 = 7,374/x
  3. Step 3: Cross multiply
    21,225.36x = 31,837.68 × 7,374
  4. Step 4: Simplify right side
    21,225.36x = 234,771,052.32
  5. Step 5: Solve for x
    x = 234,771,052.32/21,225.36
  6. Step 6: Final answer
    x = 11,060.87

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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.