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Finding the Fourth Proportional to 39,097.84, 58,632.12 and 15,716.32

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Solution

The fourth proportional to 39,097.84, 58,632.12 and 15,716.32 is: 23,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.84 : 58,632.12 = 15,716.32 : x
  2. Step 2: Convert to fraction form
    39,097.84/58,632.12 = 15,716.32/x
  3. Step 3: Cross multiply
    39,097.84x = 58,632.12 × 15,716.32
  4. Step 4: Simplify right side
    39,097.84x = 921,481,160.20
  5. Step 5: Solve for x
    x = 921,481,160.20/39,097.84
  6. Step 6: Final answer
    x = 23,568.60

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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.