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Finding the Fourth Proportional to 13,775.82, 19,010.73 and 7,807.59

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Solution

The fourth proportional to 13,775.82, 19,010.73 and 7,807.59 is: 10,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.82 : 19,010.73 = 7,807.59 : x
  2. Step 2: Convert to fraction form
    13,775.82/19,010.73 = 7,807.59/x
  3. Step 3: Cross multiply
    13,775.82x = 19,010.73 × 7,807.59
  4. Step 4: Simplify right side
    13,775.82x = 148,427,948.84
  5. Step 5: Solve for x
    x = 148,427,948.84/13,775.82
  6. Step 6: Final answer
    x = 10,774.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.