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Finding the Fourth Proportional to 12,923.40, 19,384.02 and 4,155.96

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Solution

The fourth proportional to 12,923.40, 19,384.02 and 4,155.96 is: 6,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.40 : 19,384.02 = 4,155.96 : x
  2. Step 2: Convert to fraction form
    12,923.40/19,384.02 = 4,155.96/x
  3. Step 3: Cross multiply
    12,923.40x = 19,384.02 × 4,155.96
  4. Step 4: Simplify right side
    12,923.40x = 80,559,211.76
  5. Step 5: Solve for x
    x = 80,559,211.76/12,923.40
  6. Step 6: Final answer
    x = 6,233.59

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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.