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Finding the Fourth Proportional to 27,415.93, 37,831.71 and 16,084.24

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Solution

The fourth proportional to 27,415.93, 37,831.71 and 16,084.24 is: 22,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.93 : 37,831.71 = 16,084.24 : x
  2. Step 2: Convert to fraction form
    27,415.93/37,831.71 = 16,084.24/x
  3. Step 3: Cross multiply
    27,415.93x = 37,831.71 × 16,084.24
  4. Step 4: Simplify right side
    27,415.93x = 608,494,303.25
  5. Step 5: Solve for x
    x = 608,494,303.25/27,415.93
  6. Step 6: Final answer
    x = 22,194.92

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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.