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Finding the Fourth Proportional to 20,518.50, 28,315.53 and 11,686.50

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Solution

The fourth proportional to 20,518.50, 28,315.53 and 11,686.50 is: 16,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.50 : 28,315.53 = 11,686.50 : x
  2. Step 2: Convert to fraction form
    20,518.50/28,315.53 = 11,686.50/x
  3. Step 3: Cross multiply
    20,518.50x = 28,315.53 × 11,686.50
  4. Step 4: Simplify right side
    20,518.50x = 330,909,441.35
  5. Step 5: Solve for x
    x = 330,909,441.35/20,518.50
  6. Step 6: Final answer
    x = 16,127.37

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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.