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Finding the Fourth Proportional to 12,561.34, 17,334.59 and 6,895.94

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Solution

The fourth proportional to 12,561.34, 17,334.59 and 6,895.94 is: 9,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.34 : 17,334.59 = 6,895.94 : x
  2. Step 2: Convert to fraction form
    12,561.34/17,334.59 = 6,895.94/x
  3. Step 3: Cross multiply
    12,561.34x = 17,334.59 × 6,895.94
  4. Step 4: Simplify right side
    12,561.34x = 119,538,292.56
  5. Step 5: Solve for x
    x = 119,538,292.56/12,561.34
  6. Step 6: Final answer
    x = 9,516.36

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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.