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Finding the Fourth Proportional to 12,424.57, 17,142.51 and 8,643.49

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Solution

The fourth proportional to 12,424.57, 17,142.51 and 8,643.49 is: 11,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.57 : 17,142.51 = 8,643.49 : x
  2. Step 2: Convert to fraction form
    12,424.57/17,142.51 = 8,643.49/x
  3. Step 3: Cross multiply
    12,424.57x = 17,142.51 × 8,643.49
  4. Step 4: Simplify right side
    12,424.57x = 148,171,113.76
  5. Step 5: Solve for x
    x = 148,171,113.76/12,424.57
  6. Step 6: Final answer
    x = 11,925.65

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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.