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Finding the Fourth Proportional to 14,519.36, 21,776 and 4,128.32

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Solution

The fourth proportional to 14,519.36, 21,776 and 4,128.32 is: 6,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.36 : 21,776 = 4,128.32 : x
  2. Step 2: Convert to fraction form
    14,519.36/21,776 = 4,128.32/x
  3. Step 3: Cross multiply
    14,519.36x = 21,776 × 4,128.32
  4. Step 4: Simplify right side
    14,519.36x = 89,898,296.32
  5. Step 5: Solve for x
    x = 89,898,296.32/14,519.36
  6. Step 6: Final answer
    x = 6,191.62

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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.