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Finding the Fourth Proportional to 34,014.12, 51,009.83 and 14,289

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Solution

The fourth proportional to 34,014.12, 51,009.83 and 14,289 is: 21,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.12 : 51,009.83 = 14,289 : x
  2. Step 2: Convert to fraction form
    34,014.12/51,009.83 = 14,289/x
  3. Step 3: Cross multiply
    34,014.12x = 51,009.83 × 14,289
  4. Step 4: Simplify right side
    34,014.12x = 728,879,460.87
  5. Step 5: Solve for x
    x = 728,879,460.87/34,014.12
  6. Step 6: Final answer
    x = 21,428.73

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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.