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Finding the Fourth Proportional to 17,604.72, 24,294.12 and 9,646.77

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Solution

The fourth proportional to 17,604.72, 24,294.12 and 9,646.77 is: 13,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.72 : 24,294.12 = 9,646.77 : x
  2. Step 2: Convert to fraction form
    17,604.72/24,294.12 = 9,646.77/x
  3. Step 3: Cross multiply
    17,604.72x = 24,294.12 × 9,646.77
  4. Step 4: Simplify right side
    17,604.72x = 234,359,787.99
  5. Step 5: Solve for x
    x = 234,359,787.99/17,604.72
  6. Step 6: Final answer
    x = 13,312.33

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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.