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Finding the Fourth Proportional to 27,582.16, 38,076.60 and 16,980.88

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Solution

The fourth proportional to 27,582.16, 38,076.60 and 16,980.88 is: 23,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.16 : 38,076.60 = 16,980.88 : x
  2. Step 2: Convert to fraction form
    27,582.16/38,076.60 = 16,980.88/x
  3. Step 3: Cross multiply
    27,582.16x = 38,076.60 × 16,980.88
  4. Step 4: Simplify right side
    27,582.16x = 646,574,175.41
  5. Step 5: Solve for x
    x = 646,574,175.41/27,582.16
  6. Step 6: Final answer
    x = 23,441.75

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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.