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Finding the Fourth Proportional to 23,484.80, 32,408.76 and 12,874.40

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Solution

The fourth proportional to 23,484.80, 32,408.76 and 12,874.40 is: 17,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.80 : 32,408.76 = 12,874.40 : x
  2. Step 2: Convert to fraction form
    23,484.80/32,408.76 = 12,874.40/x
  3. Step 3: Cross multiply
    23,484.80x = 32,408.76 × 12,874.40
  4. Step 4: Simplify right side
    23,484.80x = 417,243,339.74
  5. Step 5: Solve for x
    x = 417,243,339.74/23,484.80
  6. Step 6: Final answer
    x = 17,766.53

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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.