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Finding the Fourth Proportional to 23,833.10, 32,876.01 and 14,865.02

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Solution

The fourth proportional to 23,833.10, 32,876.01 and 14,865.02 is: 20,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.10 : 32,876.01 = 14,865.02 : x
  2. Step 2: Convert to fraction form
    23,833.10/32,876.01 = 14,865.02/x
  3. Step 3: Cross multiply
    23,833.10x = 32,876.01 × 14,865.02
  4. Step 4: Simplify right side
    23,833.10x = 488,702,505.08
  5. Step 5: Solve for x
    x = 488,702,505.08/23,833.10
  6. Step 6: Final answer
    x = 20,505.20

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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.