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Finding the Fourth Proportional to 21,711.64, 29,967.96 and 12,762.02

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Solution

The fourth proportional to 21,711.64, 29,967.96 and 12,762.02 is: 17,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.64 : 29,967.96 = 12,762.02 : x
  2. Step 2: Convert to fraction form
    21,711.64/29,967.96 = 12,762.02/x
  3. Step 3: Cross multiply
    21,711.64x = 29,967.96 × 12,762.02
  4. Step 4: Simplify right side
    21,711.64x = 382,451,704.88
  5. Step 5: Solve for x
    x = 382,451,704.88/21,711.64
  6. Step 6: Final answer
    x = 17,615.05

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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.