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Finding the Fourth Proportional to 23,181.66, 34,746.57 and 10,014.30

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Solution

The fourth proportional to 23,181.66, 34,746.57 and 10,014.30 is: 15,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.66 : 34,746.57 = 10,014.30 : x
  2. Step 2: Convert to fraction form
    23,181.66/34,746.57 = 10,014.30/x
  3. Step 3: Cross multiply
    23,181.66x = 34,746.57 × 10,014.30
  4. Step 4: Simplify right side
    23,181.66x = 347,962,575.95
  5. Step 5: Solve for x
    x = 347,962,575.95/23,181.66
  6. Step 6: Final answer
    x = 15,010.25

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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.