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Finding the Fourth Proportional to 13,790.50, 20,688.63 and 5,582.50

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Solution

The fourth proportional to 13,790.50, 20,688.63 and 5,582.50 is: 8,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.50 : 20,688.63 = 5,582.50 : x
  2. Step 2: Convert to fraction form
    13,790.50/20,688.63 = 5,582.50/x
  3. Step 3: Cross multiply
    13,790.50x = 20,688.63 × 5,582.50
  4. Step 4: Simplify right side
    13,790.50x = 115,494,276.98
  5. Step 5: Solve for x
    x = 115,494,276.98/13,790.50
  6. Step 6: Final answer
    x = 8,374.92

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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.