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Finding the Fourth Proportional to 12,815.98, 17,682.71 and 7,507.94

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Solution

The fourth proportional to 12,815.98, 17,682.71 and 7,507.94 is: 10,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.98 : 17,682.71 = 7,507.94 : x
  2. Step 2: Convert to fraction form
    12,815.98/17,682.71 = 7,507.94/x
  3. Step 3: Cross multiply
    12,815.98x = 17,682.71 × 7,507.94
  4. Step 4: Simplify right side
    12,815.98x = 132,760,688.18
  5. Step 5: Solve for x
    x = 132,760,688.18/12,815.98
  6. Step 6: Final answer
    x = 10,359.00

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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.