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Finding the Fourth Proportional to 17,876.62, 24,670.20 and 9,810.64

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Solution

The fourth proportional to 17,876.62, 24,670.20 and 9,810.64 is: 13,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.62 : 24,670.20 = 9,810.64 : x
  2. Step 2: Convert to fraction form
    17,876.62/24,670.20 = 9,810.64/x
  3. Step 3: Cross multiply
    17,876.62x = 24,670.20 × 9,810.64
  4. Step 4: Simplify right side
    17,876.62x = 242,030,450.93
  5. Step 5: Solve for x
    x = 242,030,450.93/17,876.62
  6. Step 6: Final answer
    x = 13,538.94

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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.