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Finding the Fourth Proportional to 12,534.18, 17,300.97 and 7,232.46

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Solution

The fourth proportional to 12,534.18, 17,300.97 and 7,232.46 is: 9,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.18 : 17,300.97 = 7,232.46 : x
  2. Step 2: Convert to fraction form
    12,534.18/17,300.97 = 7,232.46/x
  3. Step 3: Cross multiply
    12,534.18x = 17,300.97 × 7,232.46
  4. Step 4: Simplify right side
    12,534.18x = 125,128,573.49
  5. Step 5: Solve for x
    x = 125,128,573.49/12,534.18
  6. Step 6: Final answer
    x = 9,982.99

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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.