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Finding the Fourth Proportional to 23,005.50, 31,734.59 and 14,493.01

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Solution

The fourth proportional to 23,005.50, 31,734.59 and 14,493.01 is: 19,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.50 : 31,734.59 = 14,493.01 : x
  2. Step 2: Convert to fraction form
    23,005.50/31,734.59 = 14,493.01/x
  3. Step 3: Cross multiply
    23,005.50x = 31,734.59 × 14,493.01
  4. Step 4: Simplify right side
    23,005.50x = 459,929,687.11
  5. Step 5: Solve for x
    x = 459,929,687.11/23,005.50
  6. Step 6: Final answer
    x = 19,992.16

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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.