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Finding the Fourth Proportional to 15,050.44, 22,577.84 and 4,663

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Solution

The fourth proportional to 15,050.44, 22,577.84 and 4,663 is: 6,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,050.44 : 22,577.84 = 4,663 : x
  2. Step 2: Convert to fraction form
    15,050.44/22,577.84 = 4,663/x
  3. Step 3: Cross multiply
    15,050.44x = 22,577.84 × 4,663
  4. Step 4: Simplify right side
    15,050.44x = 105,280,467.92
  5. Step 5: Solve for x
    x = 105,280,467.92/15,050.44
  6. Step 6: Final answer
    x = 6,995.18

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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.