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Finding the Fourth Proportional to 18,551.76, 27,827.64 and 6,851.34

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Solution

The fourth proportional to 18,551.76, 27,827.64 and 6,851.34 is: 10,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.76 : 27,827.64 = 6,851.34 : x
  2. Step 2: Convert to fraction form
    18,551.76/27,827.64 = 6,851.34/x
  3. Step 3: Cross multiply
    18,551.76x = 27,827.64 × 6,851.34
  4. Step 4: Simplify right side
    18,551.76x = 190,656,623.04
  5. Step 5: Solve for x
    x = 190,656,623.04/18,551.76
  6. Step 6: Final answer
    x = 10,277.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.