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Finding the Fourth Proportional to 15,772.94, 23,655.75 and 4,676.95

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Solution

The fourth proportional to 15,772.94, 23,655.75 and 4,676.95 is: 7,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.94 : 23,655.75 = 4,676.95 : x
  2. Step 2: Convert to fraction form
    15,772.94/23,655.75 = 4,676.95/x
  3. Step 3: Cross multiply
    15,772.94x = 23,655.75 × 4,676.95
  4. Step 4: Simplify right side
    15,772.94x = 110,636,759.96
  5. Step 5: Solve for x
    x = 110,636,759.96/15,772.94
  6. Step 6: Final answer
    x = 7,014.34

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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.