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Finding the Fourth Proportional to 13,585.96, 20,373.96 and 4,699.04

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Solution

The fourth proportional to 13,585.96, 20,373.96 and 4,699.04 is: 7,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.96 : 20,373.96 = 4,699.04 : x
  2. Step 2: Convert to fraction form
    13,585.96/20,373.96 = 4,699.04/x
  3. Step 3: Cross multiply
    13,585.96x = 20,373.96 × 4,699.04
  4. Step 4: Simplify right side
    13,585.96x = 95,738,053.00
  5. Step 5: Solve for x
    x = 95,738,053.00/13,585.96
  6. Step 6: Final answer
    x = 7,046.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.