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Finding the Fourth Proportional to 14,127.66, 19,496.06 and 8,159.84

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Solution

The fourth proportional to 14,127.66, 19,496.06 and 8,159.84 is: 11,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.66 : 19,496.06 = 8,159.84 : x
  2. Step 2: Convert to fraction form
    14,127.66/19,496.06 = 8,159.84/x
  3. Step 3: Cross multiply
    14,127.66x = 19,496.06 × 8,159.84
  4. Step 4: Simplify right side
    14,127.66x = 159,084,730.23
  5. Step 5: Solve for x
    x = 159,084,730.23/14,127.66
  6. Step 6: Final answer
    x = 11,260.52

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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.