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Finding the Fourth Proportional to 16,932.78, 23,368.16 and 9,380.00

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Solution

The fourth proportional to 16,932.78, 23,368.16 and 9,380.00 is: 12,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,932.78 : 23,368.16 = 9,380.00 : x
  2. Step 2: Convert to fraction form
    16,932.78/23,368.16 = 9,380.00/x
  3. Step 3: Cross multiply
    16,932.78x = 23,368.16 × 9,380.00
  4. Step 4: Simplify right side
    16,932.78x = 219,193,422.67
  5. Step 5: Solve for x
    x = 219,193,422.67/16,932.78
  6. Step 6: Final answer
    x = 12,944.92

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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.