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Finding the Fourth Proportional to 16,854.82, 23,259.62 and 9,301.14

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Solution

The fourth proportional to 16,854.82, 23,259.62 and 9,301.14 is: 12,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.82 : 23,259.62 = 9,301.14 : x
  2. Step 2: Convert to fraction form
    16,854.82/23,259.62 = 9,301.14/x
  3. Step 3: Cross multiply
    16,854.82x = 23,259.62 × 9,301.14
  4. Step 4: Simplify right side
    16,854.82x = 216,341,005.22
  5. Step 5: Solve for x
    x = 216,341,005.22/16,854.82
  6. Step 6: Final answer
    x = 12,835.56

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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.