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Finding the Fourth Proportional to 39,378.34, 59,076.42 and 13,084.12

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Solution

The fourth proportional to 39,378.34, 59,076.42 and 13,084.12 is: 19,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,378.34 : 59,076.42 = 13,084.12 : x
  2. Step 2: Convert to fraction form
    39,378.34/59,076.42 = 13,084.12/x
  3. Step 3: Cross multiply
    39,378.34x = 59,076.42 × 13,084.12
  4. Step 4: Simplify right side
    39,378.34x = 772,962,968.45
  5. Step 5: Solve for x
    x = 772,962,968.45/39,378.34
  6. Step 6: Final answer
    x = 19,629.14

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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.