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Finding the Fourth Proportional to 17,838.11, 24,616.89 and 9,771.65

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Solution

The fourth proportional to 17,838.11, 24,616.89 and 9,771.65 is: 13,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.11 : 24,616.89 = 9,771.65 : x
  2. Step 2: Convert to fraction form
    17,838.11/24,616.89 = 9,771.65/x
  3. Step 3: Cross multiply
    17,838.11x = 24,616.89 × 9,771.65
  4. Step 4: Simplify right side
    17,838.11x = 240,547,461.23
  5. Step 5: Solve for x
    x = 240,547,461.23/17,838.11
  6. Step 6: Final answer
    x = 13,485.03

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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.