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Finding the Fourth Proportional to 12,765.90, 17,616.69 and 7,100.53

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Solution

The fourth proportional to 12,765.90, 17,616.69 and 7,100.53 is: 9,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.90 : 17,616.69 = 7,100.53 : x
  2. Step 2: Convert to fraction form
    12,765.90/17,616.69 = 7,100.53/x
  3. Step 3: Cross multiply
    12,765.90x = 17,616.69 × 7,100.53
  4. Step 4: Simplify right side
    12,765.90x = 125,087,732.15
  5. Step 5: Solve for x
    x = 125,087,732.15/12,765.90
  6. Step 6: Final answer
    x = 9,798.58

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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.