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Finding the Fourth Proportional to 13,070.31, 19,610.61 and 7,808.20

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Solution

The fourth proportional to 13,070.31, 19,610.61 and 7,808.20 is: 11,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.31 : 19,610.61 = 7,808.20 : x
  2. Step 2: Convert to fraction form
    13,070.31/19,610.61 = 7,808.20/x
  3. Step 3: Cross multiply
    13,070.31x = 19,610.61 × 7,808.20
  4. Step 4: Simplify right side
    13,070.31x = 153,123,486.69
  5. Step 5: Solve for x
    x = 153,123,486.69/13,070.31
  6. Step 6: Final answer
    x = 11,715.37

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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.