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Finding the Fourth Proportional to 14,031.77, 21,031.25 and 7,790.31

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Solution

The fourth proportional to 14,031.77, 21,031.25 and 7,790.31 is: 11,676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.77 : 21,031.25 = 7,790.31 : x
  2. Step 2: Convert to fraction form
    14,031.77/21,031.25 = 7,790.31/x
  3. Step 3: Cross multiply
    14,031.77x = 21,031.25 × 7,790.31
  4. Step 4: Simplify right side
    14,031.77x = 163,839,918.24
  5. Step 5: Solve for x
    x = 163,839,918.24/14,031.77
  6. Step 6: Final answer
    x = 11,676.36

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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.