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Finding the Fourth Proportional to 16,860.83, 23,275.82 and 9,785.89

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Solution

The fourth proportional to 16,860.83, 23,275.82 and 9,785.89 is: 13,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,860.83 : 23,275.82 = 9,785.89 : x
  2. Step 2: Convert to fraction form
    16,860.83/23,275.82 = 9,785.89/x
  3. Step 3: Cross multiply
    16,860.83x = 23,275.82 × 9,785.89
  4. Step 4: Simplify right side
    16,860.83x = 227,774,580.45
  5. Step 5: Solve for x
    x = 227,774,580.45/16,860.83
  6. Step 6: Final answer
    x = 13,509.09

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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.