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Finding the Fourth Proportional to 12,871.54, 17,758.59 and 7,205.45

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Solution

The fourth proportional to 12,871.54, 17,758.59 and 7,205.45 is: 9,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.54 : 17,758.59 = 7,205.45 : x
  2. Step 2: Convert to fraction form
    12,871.54/17,758.59 = 7,205.45/x
  3. Step 3: Cross multiply
    12,871.54x = 17,758.59 × 7,205.45
  4. Step 4: Simplify right side
    12,871.54x = 127,958,632.32
  5. Step 5: Solve for x
    x = 127,958,632.32/12,871.54
  6. Step 6: Final answer
    x = 9,941.21

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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.