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Finding the Fourth Proportional to 23,009.46, 31,751.64 and 14,520.12

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Solution

The fourth proportional to 23,009.46, 31,751.64 and 14,520.12 is: 20,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.46 : 31,751.64 = 14,520.12 : x
  2. Step 2: Convert to fraction form
    23,009.46/31,751.64 = 14,520.12/x
  3. Step 3: Cross multiply
    23,009.46x = 31,751.64 × 14,520.12
  4. Step 4: Simplify right side
    23,009.46x = 461,037,623.00
  5. Step 5: Solve for x
    x = 461,037,623.00/23,009.46
  6. Step 6: Final answer
    x = 20,036.87

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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.