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Finding the Fourth Proportional to 17,737.94, 24,477.62 and 9,671.42

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Solution

The fourth proportional to 17,737.94, 24,477.62 and 9,671.42 is: 13,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.94 : 24,477.62 = 9,671.42 : x
  2. Step 2: Convert to fraction form
    17,737.94/24,477.62 = 9,671.42/x
  3. Step 3: Cross multiply
    17,737.94x = 24,477.62 × 9,671.42
  4. Step 4: Simplify right side
    17,737.94x = 236,733,343.62
  5. Step 5: Solve for x
    x = 236,733,343.62/17,737.94
  6. Step 6: Final answer
    x = 13,346.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.