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Finding the Fourth Proportional to 13,548.12, 18,696.60 and 7,580.04

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Solution

The fourth proportional to 13,548.12, 18,696.60 and 7,580.04 is: 10,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.12 : 18,696.60 = 7,580.04 : x
  2. Step 2: Convert to fraction form
    13,548.12/18,696.60 = 7,580.04/x
  3. Step 3: Cross multiply
    13,548.12x = 18,696.60 × 7,580.04
  4. Step 4: Simplify right side
    13,548.12x = 141,720,975.86
  5. Step 5: Solve for x
    x = 141,720,975.86/13,548.12
  6. Step 6: Final answer
    x = 10,460.56

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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.