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Finding the Fourth Proportional to 12,548.72, 18,824 and 4,228.76

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Solution

The fourth proportional to 12,548.72, 18,824 and 4,228.76 is: 6,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.72 : 18,824 = 4,228.76 : x
  2. Step 2: Convert to fraction form
    12,548.72/18,824 = 4,228.76/x
  3. Step 3: Cross multiply
    12,548.72x = 18,824 × 4,228.76
  4. Step 4: Simplify right side
    12,548.72x = 79,602,178.24
  5. Step 5: Solve for x
    x = 79,602,178.24/12,548.72
  6. Step 6: Final answer
    x = 6,343.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.