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Finding the Fourth Proportional to 13,951.64, 20,930 and 4,594.32

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Solution

The fourth proportional to 13,951.64, 20,930 and 4,594.32 is: 6,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.64 : 20,930 = 4,594.32 : x
  2. Step 2: Convert to fraction form
    13,951.64/20,930 = 4,594.32/x
  3. Step 3: Cross multiply
    13,951.64x = 20,930 × 4,594.32
  4. Step 4: Simplify right side
    13,951.64x = 96,159,117.60
  5. Step 5: Solve for x
    x = 96,159,117.60/13,951.64
  6. Step 6: Final answer
    x = 6,892.32

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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.