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Finding the Fourth Proportional to 13,539, 18,684.54 and 7,570.30

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Solution

The fourth proportional to 13,539, 18,684.54 and 7,570.30 is: 10,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 18,684.54 = 7,570.30 : x
  2. Step 2: Convert to fraction form
    13,539/18,684.54 = 7,570.30/x
  3. Step 3: Cross multiply
    13,539x = 18,684.54 × 7,570.30
  4. Step 4: Simplify right side
    13,539x = 141,447,573.16
  5. Step 5: Solve for x
    x = 141,447,573.16/13,539
  6. Step 6: Final answer
    x = 10,447.42

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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.