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Finding the Fourth Proportional to 27,006, 37,269.72 and 15,831.60

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Solution

The fourth proportional to 27,006, 37,269.72 and 15,831.60 is: 21,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 37,269.72 = 15,831.60 : x
  2. Step 2: Convert to fraction form
    27,006/37,269.72 = 15,831.60/x
  3. Step 3: Cross multiply
    27,006x = 37,269.72 × 15,831.60
  4. Step 4: Simplify right side
    27,006x = 590,039,299.15
  5. Step 5: Solve for x
    x = 590,039,299.15/27,006
  6. Step 6: Final answer
    x = 21,848.45

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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.