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Finding the Fourth Proportional to 17,503.76, 24,154.65 and 9,546.14

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Solution

The fourth proportional to 17,503.76, 24,154.65 and 9,546.14 is: 13,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,503.76 : 24,154.65 = 9,546.14 : x
  2. Step 2: Convert to fraction form
    17,503.76/24,154.65 = 9,546.14/x
  3. Step 3: Cross multiply
    17,503.76x = 24,154.65 × 9,546.14
  4. Step 4: Simplify right side
    17,503.76x = 230,583,670.55
  5. Step 5: Solve for x
    x = 230,583,670.55/17,503.76
  6. Step 6: Final answer
    x = 13,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.