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Finding the Fourth Proportional to 14,130.12, 19,495.06 and 8,161

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Solution

The fourth proportional to 14,130.12, 19,495.06 and 8,161 is: 11,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.12 : 19,495.06 = 8,161 : x
  2. Step 2: Convert to fraction form
    14,130.12/19,495.06 = 8,161/x
  3. Step 3: Cross multiply
    14,130.12x = 19,495.06 × 8,161
  4. Step 4: Simplify right side
    14,130.12x = 159,099,184.66
  5. Step 5: Solve for x
    x = 159,099,184.66/14,130.12
  6. Step 6: Final answer
    x = 11,259.58

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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.