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Finding the Fourth Proportional to 12,587.76, 17,369.82 and 7,284.24

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Solution

The fourth proportional to 12,587.76, 17,369.82 and 7,284.24 is: 10,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.76 : 17,369.82 = 7,284.24 : x
  2. Step 2: Convert to fraction form
    12,587.76/17,369.82 = 7,284.24/x
  3. Step 3: Cross multiply
    12,587.76x = 17,369.82 × 7,284.24
  4. Step 4: Simplify right side
    12,587.76x = 126,525,937.64
  5. Step 5: Solve for x
    x = 126,525,937.64/12,587.76
  6. Step 6: Final answer
    x = 10,051.51

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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.