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Finding the Fourth Proportional to 23,059.08, 31,821.66 and 13,123.08

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Solution

The fourth proportional to 23,059.08, 31,821.66 and 13,123.08 is: 18,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.08 : 31,821.66 = 13,123.08 : x
  2. Step 2: Convert to fraction form
    23,059.08/31,821.66 = 13,123.08/x
  3. Step 3: Cross multiply
    23,059.08x = 31,821.66 × 13,123.08
  4. Step 4: Simplify right side
    23,059.08x = 417,598,189.91
  5. Step 5: Solve for x
    x = 417,598,189.91/23,059.08
  6. Step 6: Final answer
    x = 18,109.92

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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.