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Finding the Fourth Proportional to 21,996.64, 32,971.92 and 10,300

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Solution

The fourth proportional to 21,996.64, 32,971.92 and 10,300 is: 15,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.64 : 32,971.92 = 10,300 : x
  2. Step 2: Convert to fraction form
    21,996.64/32,971.92 = 10,300/x
  3. Step 3: Cross multiply
    21,996.64x = 32,971.92 × 10,300
  4. Step 4: Simplify right side
    21,996.64x = 339,610,776
  5. Step 5: Solve for x
    x = 339,610,776/21,996.64
  6. Step 6: Final answer
    x = 15,439.21

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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.