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Finding the Fourth Proportional to 18,549.72, 27,820.53 and 6,854.40

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Solution

The fourth proportional to 18,549.72, 27,820.53 and 6,854.40 is: 10,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.72 : 27,820.53 = 6,854.40 : x
  2. Step 2: Convert to fraction form
    18,549.72/27,820.53 = 6,854.40/x
  3. Step 3: Cross multiply
    18,549.72x = 27,820.53 × 6,854.40
  4. Step 4: Simplify right side
    18,549.72x = 190,693,040.83
  5. Step 5: Solve for x
    x = 190,693,040.83/18,549.72
  6. Step 6: Final answer
    x = 10,280.10

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