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Finding the Fourth Proportional to 12,806.82, 19,278.12 and 9,134.46

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Solution

The fourth proportional to 12,806.82, 19,278.12 and 9,134.46 is: 13,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.82 : 19,278.12 = 9,134.46 : x
  2. Step 2: Convert to fraction form
    12,806.82/19,278.12 = 9,134.46/x
  3. Step 3: Cross multiply
    12,806.82x = 19,278.12 × 9,134.46
  4. Step 4: Simplify right side
    12,806.82x = 176,095,216.02
  5. Step 5: Solve for x
    x = 176,095,216.02/12,806.82
  6. Step 6: Final answer
    x = 13,750.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.