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Finding the Fourth Proportional to 30,985.84, 46,459.89 and 13,206.56

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Solution

The fourth proportional to 30,985.84, 46,459.89 and 13,206.56 is: 19,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.84 : 46,459.89 = 13,206.56 : x
  2. Step 2: Convert to fraction form
    30,985.84/46,459.89 = 13,206.56/x
  3. Step 3: Cross multiply
    30,985.84x = 46,459.89 × 13,206.56
  4. Step 4: Simplify right side
    30,985.84x = 613,575,176.48
  5. Step 5: Solve for x
    x = 613,575,176.48/30,985.84
  6. Step 6: Final answer
    x = 19,801.79

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