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Finding the Fourth Proportional to 17,538.16, 24,202.48 and 9,580.32

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Solution

The fourth proportional to 17,538.16, 24,202.48 and 9,580.32 is: 13,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.16 : 24,202.48 = 9,580.32 : x
  2. Step 2: Convert to fraction form
    17,538.16/24,202.48 = 9,580.32/x
  3. Step 3: Cross multiply
    17,538.16x = 24,202.48 × 9,580.32
  4. Step 4: Simplify right side
    17,538.16x = 231,867,503.19
  5. Step 5: Solve for x
    x = 231,867,503.19/17,538.16
  6. Step 6: Final answer
    x = 13,220.74

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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.