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Finding the Fourth Proportional to 12,903.84, 19,355.76 and 4,142.88

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Solution

The fourth proportional to 12,903.84, 19,355.76 and 4,142.88 is: 6,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.84 : 19,355.76 = 4,142.88 : x
  2. Step 2: Convert to fraction form
    12,903.84/19,355.76 = 4,142.88/x
  3. Step 3: Cross multiply
    12,903.84x = 19,355.76 × 4,142.88
  4. Step 4: Simplify right side
    12,903.84x = 80,188,590.99
  5. Step 5: Solve for x
    x = 80,188,590.99/12,903.84
  6. Step 6: Final answer
    x = 6,214.32

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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.