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Finding the Fourth Proportional to 12,735.74, 17,573.28 and 8,026.40

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Solution

The fourth proportional to 12,735.74, 17,573.28 and 8,026.40 is: 11,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.74 : 17,573.28 = 8,026.40 : x
  2. Step 2: Convert to fraction form
    12,735.74/17,573.28 = 8,026.40/x
  3. Step 3: Cross multiply
    12,735.74x = 17,573.28 × 8,026.40
  4. Step 4: Simplify right side
    12,735.74x = 141,050,174.59
  5. Step 5: Solve for x
    x = 141,050,174.59/12,735.74
  6. Step 6: Final answer
    x = 11,075.15

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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.