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Finding the Fourth Proportional to 17,503.81, 24,155.34 and 9,546.16

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Solution

The fourth proportional to 17,503.81, 24,155.34 and 9,546.16 is: 13,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,503.81 : 24,155.34 = 9,546.16 : x
  2. Step 2: Convert to fraction form
    17,503.81/24,155.34 = 9,546.16/x
  3. Step 3: Cross multiply
    17,503.81x = 24,155.34 × 9,546.16
  4. Step 4: Simplify right side
    17,503.81x = 230,590,740.49
  5. Step 5: Solve for x
    x = 230,590,740.49/17,503.81
  6. Step 6: Final answer
    x = 13,173.75

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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.