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Finding the Fourth Proportional to 12,434.40, 17,153.10 and 7,652.70

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Solution

The fourth proportional to 12,434.40, 17,153.10 and 7,652.70 is: 10,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.40 : 17,153.10 = 7,652.70 : x
  2. Step 2: Convert to fraction form
    12,434.40/17,153.10 = 7,652.70/x
  3. Step 3: Cross multiply
    12,434.40x = 17,153.10 × 7,652.70
  4. Step 4: Simplify right side
    12,434.40x = 131,267,528.37
  5. Step 5: Solve for x
    x = 131,267,528.37/12,434.40
  6. Step 6: Final answer
    x = 10,556.80

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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.