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Finding the Fourth Proportional to 15,896.16, 21,936.80 and 9,931.30

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Solution

The fourth proportional to 15,896.16, 21,936.80 and 9,931.30 is: 13,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.16 : 21,936.80 = 9,931.30 : x
  2. Step 2: Convert to fraction form
    15,896.16/21,936.80 = 9,931.30/x
  3. Step 3: Cross multiply
    15,896.16x = 21,936.80 × 9,931.30
  4. Step 4: Simplify right side
    15,896.16x = 217,860,837.34
  5. Step 5: Solve for x
    x = 217,860,837.34/15,896.16
  6. Step 6: Final answer
    x = 13,705.25

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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.