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Finding the Fourth Proportional to 20,788.80, 28,686.72 and 11,715

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Solution

The fourth proportional to 20,788.80, 28,686.72 and 11,715 is: 16,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788.80 : 28,686.72 = 11,715 : x
  2. Step 2: Convert to fraction form
    20,788.80/28,686.72 = 11,715/x
  3. Step 3: Cross multiply
    20,788.80x = 28,686.72 × 11,715
  4. Step 4: Simplify right side
    20,788.80x = 336,064,924.80
  5. Step 5: Solve for x
    x = 336,064,924.80/20,788.80
  6. Step 6: Final answer
    x = 16,165.67

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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.