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Finding the Fourth Proportional to 16,859.56, 23,256.84 and 9,785.20

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Solution

The fourth proportional to 16,859.56, 23,256.84 and 9,785.20 is: 13,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.56 : 23,256.84 = 9,785.20 : x
  2. Step 2: Convert to fraction form
    16,859.56/23,256.84 = 9,785.20/x
  3. Step 3: Cross multiply
    16,859.56x = 23,256.84 × 9,785.20
  4. Step 4: Simplify right side
    16,859.56x = 227,572,830.77
  5. Step 5: Solve for x
    x = 227,572,830.77/16,859.56
  6. Step 6: Final answer
    x = 13,498.15

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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.