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Finding the Fourth Proportional to 12,746.83, 17,591.72 and 7,443.34

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Solution

The fourth proportional to 12,746.83, 17,591.72 and 7,443.34 is: 10,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.83 : 17,591.72 = 7,443.34 : x
  2. Step 2: Convert to fraction form
    12,746.83/17,591.72 = 7,443.34/x
  3. Step 3: Cross multiply
    12,746.83x = 17,591.72 × 7,443.34
  4. Step 4: Simplify right side
    12,746.83x = 130,941,153.14
  5. Step 5: Solve for x
    x = 130,941,153.14/12,746.83
  6. Step 6: Final answer
    x = 10,272.45

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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.