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Finding the Fourth Proportional to 21,615.36, 32,384.64 and 14,664.96

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Solution

The fourth proportional to 21,615.36, 32,384.64 and 14,664.96 is: 21,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.36 : 32,384.64 = 14,664.96 : x
  2. Step 2: Convert to fraction form
    21,615.36/32,384.64 = 14,664.96/x
  3. Step 3: Cross multiply
    21,615.36x = 32,384.64 × 14,664.96
  4. Step 4: Simplify right side
    21,615.36x = 474,919,450.21
  5. Step 5: Solve for x
    x = 474,919,450.21/21,615.36
  6. Step 6: Final answer
    x = 21,971.39

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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.