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Finding the Fourth Proportional to 23,027.74, 31,775.88 and 12,955.32

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Solution

The fourth proportional to 23,027.74, 31,775.88 and 12,955.32 is: 17,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.74 : 31,775.88 = 12,955.32 : x
  2. Step 2: Convert to fraction form
    23,027.74/31,775.88 = 12,955.32/x
  3. Step 3: Cross multiply
    23,027.74x = 31,775.88 × 12,955.32
  4. Step 4: Simplify right side
    23,027.74x = 411,666,693.68
  5. Step 5: Solve for x
    x = 411,666,693.68/23,027.74
  6. Step 6: Final answer
    x = 17,876.99

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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.