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Finding the Fourth Proportional to 14,712.96, 20,295.72 and 9,678

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Solution

The fourth proportional to 14,712.96, 20,295.72 and 9,678 is: 13,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.96 : 20,295.72 = 9,678 : x
  2. Step 2: Convert to fraction form
    14,712.96/20,295.72 = 9,678/x
  3. Step 3: Cross multiply
    14,712.96x = 20,295.72 × 9,678
  4. Step 4: Simplify right side
    14,712.96x = 196,421,978.16
  5. Step 5: Solve for x
    x = 196,421,978.16/14,712.96
  6. Step 6: Final answer
    x = 13,350.27

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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.