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Finding the Fourth Proportional to 14,415.26, 19,893.06 and 8,127.63

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Solution

The fourth proportional to 14,415.26, 19,893.06 and 8,127.63 is: 11,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.26 : 19,893.06 = 8,127.63 : x
  2. Step 2: Convert to fraction form
    14,415.26/19,893.06 = 8,127.63/x
  3. Step 3: Cross multiply
    14,415.26x = 19,893.06 × 8,127.63
  4. Step 4: Simplify right side
    14,415.26x = 161,683,487.20
  5. Step 5: Solve for x
    x = 161,683,487.20/14,415.26
  6. Step 6: Final answer
    x = 11,216.14

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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.