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Finding the Fourth Proportional to 27,419.41, 37,838.91 and 14,844.16

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Solution

The fourth proportional to 27,419.41, 37,838.91 and 14,844.16 is: 20,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.41 : 37,838.91 = 14,844.16 : x
  2. Step 2: Convert to fraction form
    27,419.41/37,838.91 = 14,844.16/x
  3. Step 3: Cross multiply
    27,419.41x = 37,838.91 × 14,844.16
  4. Step 4: Simplify right side
    27,419.41x = 561,686,834.27
  5. Step 5: Solve for x
    x = 561,686,834.27/27,419.41
  6. Step 6: Final answer
    x = 20,485.01

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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.