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Finding the Fourth Proportional to 19,477.24, 29,217.90 and 9,607.02

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Solution

The fourth proportional to 19,477.24, 29,217.90 and 9,607.02 is: 14,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.24 : 29,217.90 = 9,607.02 : x
  2. Step 2: Convert to fraction form
    19,477.24/29,217.90 = 9,607.02/x
  3. Step 3: Cross multiply
    19,477.24x = 29,217.90 × 9,607.02
  4. Step 4: Simplify right side
    19,477.24x = 280,696,949.66
  5. Step 5: Solve for x
    x = 280,696,949.66/19,477.24
  6. Step 6: Final answer
    x = 14,411.54

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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.