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Finding the Fourth Proportional to 12,765.53, 17,613.83 and 7,459.32

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Solution

The fourth proportional to 12,765.53, 17,613.83 and 7,459.32 is: 10,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.53 : 17,613.83 = 7,459.32 : x
  2. Step 2: Convert to fraction form
    12,765.53/17,613.83 = 7,459.32/x
  3. Step 3: Cross multiply
    12,765.53x = 17,613.83 × 7,459.32
  4. Step 4: Simplify right side
    12,765.53x = 131,387,194.40
  5. Step 5: Solve for x
    x = 131,387,194.40/12,765.53
  6. Step 6: Final answer
    x = 10,292.34

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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.