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Finding the Fourth Proportional to 13,585.70, 20,333.19 and 7,740.74

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Solution

The fourth proportional to 13,585.70, 20,333.19 and 7,740.74 is: 11,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.70 : 20,333.19 = 7,740.74 : x
  2. Step 2: Convert to fraction form
    13,585.70/20,333.19 = 7,740.74/x
  3. Step 3: Cross multiply
    13,585.70x = 20,333.19 × 7,740.74
  4. Step 4: Simplify right side
    13,585.70x = 157,393,937.16
  5. Step 5: Solve for x
    x = 157,393,937.16/13,585.70
  6. Step 6: Final answer
    x = 11,585.27

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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.