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Finding the Fourth Proportional to 12,700.32, 17,525.90 and 7,035.31

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Solution

The fourth proportional to 12,700.32, 17,525.90 and 7,035.31 is: 9,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.32 : 17,525.90 = 7,035.31 : x
  2. Step 2: Convert to fraction form
    12,700.32/17,525.90 = 7,035.31/x
  3. Step 3: Cross multiply
    12,700.32x = 17,525.90 × 7,035.31
  4. Step 4: Simplify right side
    12,700.32x = 123,300,065.60
  5. Step 5: Solve for x
    x = 123,300,065.60/12,700.32
  6. Step 6: Final answer
    x = 9,708.42

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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.