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Finding the Fourth Proportional to 14,417.71, 19,896.44 and 8,130.09

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Solution

The fourth proportional to 14,417.71, 19,896.44 and 8,130.09 is: 11,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.71 : 19,896.44 = 8,130.09 : x
  2. Step 2: Convert to fraction form
    14,417.71/19,896.44 = 8,130.09/x
  3. Step 3: Cross multiply
    14,417.71x = 19,896.44 × 8,130.09
  4. Step 4: Simplify right side
    14,417.71x = 161,759,847.88
  5. Step 5: Solve for x
    x = 161,759,847.88/14,417.71
  6. Step 6: Final answer
    x = 11,219.52

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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.