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Finding the Fourth Proportional to 13,678.94, 20,508.15 and 5,790.70

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Solution

The fourth proportional to 13,678.94, 20,508.15 and 5,790.70 is: 8,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.94 : 20,508.15 = 5,790.70 : x
  2. Step 2: Convert to fraction form
    13,678.94/20,508.15 = 5,790.70/x
  3. Step 3: Cross multiply
    13,678.94x = 20,508.15 × 5,790.70
  4. Step 4: Simplify right side
    13,678.94x = 118,756,492.93
  5. Step 5: Solve for x
    x = 118,756,492.93/13,678.94
  6. Step 6: Final answer
    x = 8,681.71

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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.