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Finding the Fourth Proportional to 23,005.68, 31,749.48 and 16,958.40

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Solution

The fourth proportional to 23,005.68, 31,749.48 and 16,958.40 is: 23,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.68 : 31,749.48 = 16,958.40 : x
  2. Step 2: Convert to fraction form
    23,005.68/31,749.48 = 16,958.40/x
  3. Step 3: Cross multiply
    23,005.68x = 31,749.48 × 16,958.40
  4. Step 4: Simplify right side
    23,005.68x = 538,420,381.63
  5. Step 5: Solve for x
    x = 538,420,381.63/23,005.68
  6. Step 6: Final answer
    x = 23,403.80

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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.