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Finding the Fourth Proportional to 13,556.16, 20,314.80 and 7,700.40

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Solution

The fourth proportional to 13,556.16, 20,314.80 and 7,700.40 is: 11,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556.16 : 20,314.80 = 7,700.40 : x
  2. Step 2: Convert to fraction form
    13,556.16/20,314.80 = 7,700.40/x
  3. Step 3: Cross multiply
    13,556.16x = 20,314.80 × 7,700.40
  4. Step 4: Simplify right side
    13,556.16x = 156,432,085.92
  5. Step 5: Solve for x
    x = 156,432,085.92/13,556.16
  6. Step 6: Final answer
    x = 11,539.56

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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.