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Finding the Fourth Proportional to 12,809.82, 19,282.65 and 9,137.46

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Solution

The fourth proportional to 12,809.82, 19,282.65 and 9,137.46 is: 13,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.82 : 19,282.65 = 9,137.46 : x
  2. Step 2: Convert to fraction form
    12,809.82/19,282.65 = 9,137.46/x
  3. Step 3: Cross multiply
    12,809.82x = 19,282.65 × 9,137.46
  4. Step 4: Simplify right side
    12,809.82x = 176,194,443.07
  5. Step 5: Solve for x
    x = 176,194,443.07/12,809.82
  6. Step 6: Final answer
    x = 13,754.64

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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.