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Finding the Fourth Proportional to 12,848.45, 17,729.51 and 7,182.61

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Solution

The fourth proportional to 12,848.45, 17,729.51 and 7,182.61 is: 9,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.45 : 17,729.51 = 7,182.61 : x
  2. Step 2: Convert to fraction form
    12,848.45/17,729.51 = 7,182.61/x
  3. Step 3: Cross multiply
    12,848.45x = 17,729.51 × 7,182.61
  4. Step 4: Simplify right side
    12,848.45x = 127,344,075.58
  5. Step 5: Solve for x
    x = 127,344,075.58/12,848.45
  6. Step 6: Final answer
    x = 9,911.24

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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.