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Finding the Fourth Proportional to 12,656.24, 17,466.67 and 7,350.74

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Solution

The fourth proportional to 12,656.24, 17,466.67 and 7,350.74 is: 10,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.24 : 17,466.67 = 7,350.74 : x
  2. Step 2: Convert to fraction form
    12,656.24/17,466.67 = 7,350.74/x
  3. Step 3: Cross multiply
    12,656.24x = 17,466.67 × 7,350.74
  4. Step 4: Simplify right side
    12,656.24x = 128,392,949.84
  5. Step 5: Solve for x
    x = 128,392,949.84/12,656.24
  6. Step 6: Final answer
    x = 10,144.64

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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.