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Finding the Fourth Proportional to 19,683.64, 27,180.38 and 16,878.81

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Solution

The fourth proportional to 19,683.64, 27,180.38 and 16,878.81 is: 23,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.64 : 27,180.38 = 16,878.81 : x
  2. Step 2: Convert to fraction form
    19,683.64/27,180.38 = 16,878.81/x
  3. Step 3: Cross multiply
    19,683.64x = 27,180.38 × 16,878.81
  4. Step 4: Simplify right side
    19,683.64x = 458,772,469.75
  5. Step 5: Solve for x
    x = 458,772,469.75/19,683.64
  6. Step 6: Final answer
    x = 23,307.30

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Why These Related Problems?

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