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Finding the Fourth Proportional to 13,539.57, 18,684.84 and 7,570.59

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Solution

The fourth proportional to 13,539.57, 18,684.84 and 7,570.59 is: 10,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.57 : 18,684.84 = 7,570.59 : x
  2. Step 2: Convert to fraction form
    13,539.57/18,684.84 = 7,570.59/x
  3. Step 3: Cross multiply
    13,539.57x = 18,684.84 × 7,570.59
  4. Step 4: Simplify right side
    13,539.57x = 141,455,262.86
  5. Step 5: Solve for x
    x = 141,455,262.86/13,539.57
  6. Step 6: Final answer
    x = 10,447.54

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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.