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Finding the Fourth Proportional to 27,416.88, 37,831.16 and 16,082.08

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Solution

The fourth proportional to 27,416.88, 37,831.16 and 16,082.08 is: 22,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.88 : 37,831.16 = 16,082.08 : x
  2. Step 2: Convert to fraction form
    27,416.88/37,831.16 = 16,082.08/x
  3. Step 3: Cross multiply
    27,416.88x = 37,831.16 × 16,082.08
  4. Step 4: Simplify right side
    27,416.88x = 608,403,741.61
  5. Step 5: Solve for x
    x = 608,403,741.61/27,416.88
  6. Step 6: Final answer
    x = 22,190.85

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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.