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Finding the Fourth Proportional to 14,159.97, 19,541.25 and 7,786.82

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Solution

The fourth proportional to 14,159.97, 19,541.25 and 7,786.82 is: 10,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.97 : 19,541.25 = 7,786.82 : x
  2. Step 2: Convert to fraction form
    14,159.97/19,541.25 = 7,786.82/x
  3. Step 3: Cross multiply
    14,159.97x = 19,541.25 × 7,786.82
  4. Step 4: Simplify right side
    14,159.97x = 152,164,245.18
  5. Step 5: Solve for x
    x = 152,164,245.18/14,159.97
  6. Step 6: Final answer
    x = 10,746.09

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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.