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Finding the Fourth Proportional to 23,917.84, 35,827.52 and 14,027.20

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Solution

The fourth proportional to 23,917.84, 35,827.52 and 14,027.20 is: 21,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.84 : 35,827.52 = 14,027.20 : x
  2. Step 2: Convert to fraction form
    23,917.84/35,827.52 = 14,027.20/x
  3. Step 3: Cross multiply
    23,917.84x = 35,827.52 × 14,027.20
  4. Step 4: Simplify right side
    23,917.84x = 502,559,788.54
  5. Step 5: Solve for x
    x = 502,559,788.54/23,917.84
  6. Step 6: Final answer
    x = 21,011.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.