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Finding the Fourth Proportional to 23,484.12, 32,408.07 and 12,873.74

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Solution

The fourth proportional to 23,484.12, 32,408.07 and 12,873.74 is: 17,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.12 : 32,408.07 = 12,873.74 : x
  2. Step 2: Convert to fraction form
    23,484.12/32,408.07 = 12,873.74/x
  3. Step 3: Cross multiply
    23,484.12x = 32,408.07 × 12,873.74
  4. Step 4: Simplify right side
    23,484.12x = 417,212,905.04
  5. Step 5: Solve for x
    x = 417,212,905.04/23,484.12
  6. Step 6: Final answer
    x = 17,765.75

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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.