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Finding the Fourth Proportional to 17,403.94, 24,017.61 and 9,446.23

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Solution

The fourth proportional to 17,403.94, 24,017.61 and 9,446.23 is: 13,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,403.94 : 24,017.61 = 9,446.23 : x
  2. Step 2: Convert to fraction form
    17,403.94/24,017.61 = 9,446.23/x
  3. Step 3: Cross multiply
    17,403.94x = 24,017.61 × 9,446.23
  4. Step 4: Simplify right side
    17,403.94x = 226,875,868.11
  5. Step 5: Solve for x
    x = 226,875,868.11/17,403.94
  6. Step 6: Final answer
    x = 13,035.89

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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.