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Finding the Fourth Proportional to 25,583.82, 38,320.18 and 12,408.50

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Solution

The fourth proportional to 25,583.82, 38,320.18 and 12,408.50 is: 18,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583.82 : 38,320.18 = 12,408.50 : x
  2. Step 2: Convert to fraction form
    25,583.82/38,320.18 = 12,408.50/x
  3. Step 3: Cross multiply
    25,583.82x = 38,320.18 × 12,408.50
  4. Step 4: Simplify right side
    25,583.82x = 475,495,953.53
  5. Step 5: Solve for x
    x = 475,495,953.53/25,583.82
  6. Step 6: Final answer
    x = 18,585.81

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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.