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Finding the Fourth Proportional to 12,735.76, 17,575.12 and 7,070.52

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Solution

The fourth proportional to 12,735.76, 17,575.12 and 7,070.52 is: 9,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.76 : 17,575.12 = 7,070.52 : x
  2. Step 2: Convert to fraction form
    12,735.76/17,575.12 = 7,070.52/x
  3. Step 3: Cross multiply
    12,735.76x = 17,575.12 × 7,070.52
  4. Step 4: Simplify right side
    12,735.76x = 124,265,237.46
  5. Step 5: Solve for x
    x = 124,265,237.46/12,735.76
  6. Step 6: Final answer
    x = 9,757.19

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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.