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Finding the Fourth Proportional to 17,381.68, 23,981.08 and 9,827.28

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Solution

The fourth proportional to 17,381.68, 23,981.08 and 9,827.28 is: 13,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.68 : 23,981.08 = 9,827.28 : x
  2. Step 2: Convert to fraction form
    17,381.68/23,981.08 = 9,827.28/x
  3. Step 3: Cross multiply
    17,381.68x = 23,981.08 × 9,827.28
  4. Step 4: Simplify right side
    17,381.68x = 235,668,787.86
  5. Step 5: Solve for x
    x = 235,668,787.86/17,381.68
  6. Step 6: Final answer
    x = 13,558.46

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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.