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Finding the Fourth Proportional to 35,145.68, 52,710.22 and 12,947

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Solution

The fourth proportional to 35,145.68, 52,710.22 and 12,947 is: 19,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,145.68 : 52,710.22 = 12,947 : x
  2. Step 2: Convert to fraction form
    35,145.68/52,710.22 = 12,947/x
  3. Step 3: Cross multiply
    35,145.68x = 52,710.22 × 12,947
  4. Step 4: Simplify right side
    35,145.68x = 682,439,218.34
  5. Step 5: Solve for x
    x = 682,439,218.34/35,145.68
  6. Step 6: Final answer
    x = 19,417.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.