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Finding the Fourth Proportional to 13,902.56, 20,854 and 4,668.56

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Solution

The fourth proportional to 13,902.56, 20,854 and 4,668.56 is: 7,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.56 : 20,854 = 4,668.56 : x
  2. Step 2: Convert to fraction form
    13,902.56/20,854 = 4,668.56/x
  3. Step 3: Cross multiply
    13,902.56x = 20,854 × 4,668.56
  4. Step 4: Simplify right side
    13,902.56x = 97,358,150.24
  5. Step 5: Solve for x
    x = 97,358,150.24/13,902.56
  6. Step 6: Final answer
    x = 7,002.89

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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.