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Finding the Fourth Proportional to 11,823.95, 17,723.94 and 7,666.59

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Solution

The fourth proportional to 11,823.95, 17,723.94 and 7,666.59 is: 11,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.95 : 17,723.94 = 7,666.59 : x
  2. Step 2: Convert to fraction form
    11,823.95/17,723.94 = 7,666.59/x
  3. Step 3: Cross multiply
    11,823.95x = 17,723.94 × 7,666.59
  4. Step 4: Simplify right side
    11,823.95x = 135,882,181.16
  5. Step 5: Solve for x
    x = 135,882,181.16/11,823.95
  6. Step 6: Final answer
    x = 11,492.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.