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Finding the Fourth Proportional to 13,538.52, 18,684.02 and 7,570.19

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Solution

The fourth proportional to 13,538.52, 18,684.02 and 7,570.19 is: 10,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.52 : 18,684.02 = 7,570.19 : x
  2. Step 2: Convert to fraction form
    13,538.52/18,684.02 = 7,570.19/x
  3. Step 3: Cross multiply
    13,538.52x = 18,684.02 × 7,570.19
  4. Step 4: Simplify right side
    13,538.52x = 141,441,529.84
  5. Step 5: Solve for x
    x = 141,441,529.84/13,538.52
  6. Step 6: Final answer
    x = 10,447.34

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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.