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Finding the Fourth Proportional to 12,534.84, 17,309.70 and 9,385.56

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Solution

The fourth proportional to 12,534.84, 17,309.70 and 9,385.56 is: 12,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.84 : 17,309.70 = 9,385.56 : x
  2. Step 2: Convert to fraction form
    12,534.84/17,309.70 = 9,385.56/x
  3. Step 3: Cross multiply
    12,534.84x = 17,309.70 × 9,385.56
  4. Step 4: Simplify right side
    12,534.84x = 162,461,227.93
  5. Step 5: Solve for x
    x = 162,461,227.93/12,534.84
  6. Step 6: Final answer
    x = 12,960.77

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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.