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Finding the Fourth Proportional to 13,776.78, 19,012.17 and 7,808.32

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Solution

The fourth proportional to 13,776.78, 19,012.17 and 7,808.32 is: 10,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.78 : 19,012.17 = 7,808.32 : x
  2. Step 2: Convert to fraction form
    13,776.78/19,012.17 = 7,808.32/x
  3. Step 3: Cross multiply
    13,776.78x = 19,012.17 × 7,808.32
  4. Step 4: Simplify right side
    13,776.78x = 148,453,049.22
  5. Step 5: Solve for x
    x = 148,453,049.22/13,776.78
  6. Step 6: Final answer
    x = 10,775.60

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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.