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Finding the Fourth Proportional to 21,758.61, 30,029.29 and 12,808.31

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Solution

The fourth proportional to 21,758.61, 30,029.29 and 12,808.31 is: 17,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.61 : 30,029.29 = 12,808.31 : x
  2. Step 2: Convert to fraction form
    21,758.61/30,029.29 = 12,808.31/x
  3. Step 3: Cross multiply
    21,758.61x = 30,029.29 × 12,808.31
  4. Step 4: Simplify right side
    21,758.61x = 384,624,498.45
  5. Step 5: Solve for x
    x = 384,624,498.45/21,758.61
  6. Step 6: Final answer
    x = 17,676.89

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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.