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Finding the Fourth Proportional to 12,650.13, 17,464.16 and 7,615.58

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Solution

The fourth proportional to 12,650.13, 17,464.16 and 7,615.58 is: 10,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.13 : 17,464.16 = 7,615.58 : x
  2. Step 2: Convert to fraction form
    12,650.13/17,464.16 = 7,615.58/x
  3. Step 3: Cross multiply
    12,650.13x = 17,464.16 × 7,615.58
  4. Step 4: Simplify right side
    12,650.13x = 132,999,582.21
  5. Step 5: Solve for x
    x = 132,999,582.21/12,650.13
  6. Step 6: Final answer
    x = 10,513.69

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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.