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Finding the Fourth Proportional to 15,205.10, 22,809.82 and 4,676.00

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Solution

The fourth proportional to 15,205.10, 22,809.82 and 4,676.00 is: 7,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.10 : 22,809.82 = 4,676.00 : x
  2. Step 2: Convert to fraction form
    15,205.10/22,809.82 = 4,676.00/x
  3. Step 3: Cross multiply
    15,205.10x = 22,809.82 × 4,676.00
  4. Step 4: Simplify right side
    15,205.10x = 106,658,592.58
  5. Step 5: Solve for x
    x = 106,658,592.58/15,205.10
  6. Step 6: Final answer
    x = 7,014.66

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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.