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Finding the Fourth Proportional to 21,002.99, 31,507.55 and 7,676.64

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Solution

The fourth proportional to 21,002.99, 31,507.55 and 7,676.64 is: 11,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.99 : 31,507.55 = 7,676.64 : x
  2. Step 2: Convert to fraction form
    21,002.99/31,507.55 = 7,676.64/x
  3. Step 3: Cross multiply
    21,002.99x = 31,507.55 × 7,676.64
  4. Step 4: Simplify right side
    21,002.99x = 241,872,080.25
  5. Step 5: Solve for x
    x = 241,872,080.25/21,002.99
  6. Step 6: Final answer
    x = 11,516.08

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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.