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Finding the Fourth Proportional to 23,076, 31,845.02 and 13,521.53

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Solution

The fourth proportional to 23,076, 31,845.02 and 13,521.53 is: 18,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 31,845.02 = 13,521.53 : x
  2. Step 2: Convert to fraction form
    23,076/31,845.02 = 13,521.53/x
  3. Step 3: Cross multiply
    23,076x = 31,845.02 × 13,521.53
  4. Step 4: Simplify right side
    23,076x = 430,593,166.45
  5. Step 5: Solve for x
    x = 430,593,166.45/23,076
  6. Step 6: Final answer
    x = 18,659.78

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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.