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Finding the Fourth Proportional to 10,826, 16,276.06 and 10,014.38

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Solution

The fourth proportional to 10,826, 16,276.06 and 10,014.38 is: 15,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826 : 16,276.06 = 10,014.38 : x
  2. Step 2: Convert to fraction form
    10,826/16,276.06 = 10,014.38/x
  3. Step 3: Cross multiply
    10,826x = 16,276.06 × 10,014.38
  4. Step 4: Simplify right side
    10,826x = 162,994,649.74
  5. Step 5: Solve for x
    x = 162,994,649.74/10,826
  6. Step 6: Final answer
    x = 15,055.85

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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.