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Finding the Fourth Proportional to 14,354.72, 21,534.24 and 5,120

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Solution

The fourth proportional to 14,354.72, 21,534.24 and 5,120 is: 7,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.72 : 21,534.24 = 5,120 : x
  2. Step 2: Convert to fraction form
    14,354.72/21,534.24 = 5,120/x
  3. Step 3: Cross multiply
    14,354.72x = 21,534.24 × 5,120
  4. Step 4: Simplify right side
    14,354.72x = 110,255,308.80
  5. Step 5: Solve for x
    x = 110,255,308.80/14,354.72
  6. Step 6: Final answer
    x = 7,680.77

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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.