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Finding the Fourth Proportional to 15,097.04, 20,831.74 and 8,382.75

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Solution

The fourth proportional to 15,097.04, 20,831.74 and 8,382.75 is: 11,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.04 : 20,831.74 = 8,382.75 : x
  2. Step 2: Convert to fraction form
    15,097.04/20,831.74 = 8,382.75/x
  3. Step 3: Cross multiply
    15,097.04x = 20,831.74 × 8,382.75
  4. Step 4: Simplify right side
    15,097.04x = 174,627,268.49
  5. Step 5: Solve for x
    x = 174,627,268.49/15,097.04
  6. Step 6: Final answer
    x = 11,566.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.