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Finding the Fourth Proportional to 14,646.25, 20,215.47 and 8,362.27

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Solution

The fourth proportional to 14,646.25, 20,215.47 and 8,362.27 is: 11,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.25 : 20,215.47 = 8,362.27 : x
  2. Step 2: Convert to fraction form
    14,646.25/20,215.47 = 8,362.27/x
  3. Step 3: Cross multiply
    14,646.25x = 20,215.47 × 8,362.27
  4. Step 4: Simplify right side
    14,646.25x = 169,047,218.32
  5. Step 5: Solve for x
    x = 169,047,218.32/14,646.25
  6. Step 6: Final answer
    x = 11,542.01

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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.