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Finding the Fourth Proportional to 16,859.40, 23,264.32 and 9,785.14

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Solution

The fourth proportional to 16,859.40, 23,264.32 and 9,785.14 is: 13,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.40 : 23,264.32 = 9,785.14 : x
  2. Step 2: Convert to fraction form
    16,859.40/23,264.32 = 9,785.14/x
  3. Step 3: Cross multiply
    16,859.40x = 23,264.32 × 9,785.14
  4. Step 4: Simplify right side
    16,859.40x = 227,644,628.20
  5. Step 5: Solve for x
    x = 227,644,628.20/16,859.40
  6. Step 6: Final answer
    x = 13,502.53

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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.