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Finding the Fourth Proportional to 16,882.56, 23,298 and 9,430.56

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Solution

The fourth proportional to 16,882.56, 23,298 and 9,430.56 is: 13,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.56 : 23,298 = 9,430.56 : x
  2. Step 2: Convert to fraction form
    16,882.56/23,298 = 9,430.56/x
  3. Step 3: Cross multiply
    16,882.56x = 23,298 × 9,430.56
  4. Step 4: Simplify right side
    16,882.56x = 219,713,186.88
  5. Step 5: Solve for x
    x = 219,713,186.88/16,882.56
  6. Step 6: Final answer
    x = 13,014.21

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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.