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Finding the Fourth Proportional to 19,477.68, 29,179.80 and 9,605.40

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Solution

The fourth proportional to 19,477.68, 29,179.80 and 9,605.40 is: 14,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.68 : 29,179.80 = 9,605.40 : x
  2. Step 2: Convert to fraction form
    19,477.68/29,179.80 = 9,605.40/x
  3. Step 3: Cross multiply
    19,477.68x = 29,179.80 × 9,605.40
  4. Step 4: Simplify right side
    19,477.68x = 280,283,650.92
  5. Step 5: Solve for x
    x = 280,283,650.92/19,477.68
  6. Step 6: Final answer
    x = 14,389.99

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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.