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Finding the Fourth Proportional to 12,775.38, 19,125.98 and 7,830.06

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Solution

The fourth proportional to 12,775.38, 19,125.98 and 7,830.06 is: 11,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.38 : 19,125.98 = 7,830.06 : x
  2. Step 2: Convert to fraction form
    12,775.38/19,125.98 = 7,830.06/x
  3. Step 3: Cross multiply
    12,775.38x = 19,125.98 × 7,830.06
  4. Step 4: Simplify right side
    12,775.38x = 149,757,570.96
  5. Step 5: Solve for x
    x = 149,757,570.96/12,775.38
  6. Step 6: Final answer
    x = 11,722.36

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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.