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Finding the Fourth Proportional to 12,715.80, 17,548.26 and 7,409.76

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Solution

The fourth proportional to 12,715.80, 17,548.26 and 7,409.76 is: 10,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.80 : 17,548.26 = 7,409.76 : x
  2. Step 2: Convert to fraction form
    12,715.80/17,548.26 = 7,409.76/x
  3. Step 3: Cross multiply
    12,715.80x = 17,548.26 × 7,409.76
  4. Step 4: Simplify right side
    12,715.80x = 130,028,395.02
  5. Step 5: Solve for x
    x = 130,028,395.02/12,715.80
  6. Step 6: Final answer
    x = 10,225.73

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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.