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Finding the Fourth Proportional to 17,838.22, 24,617.43 and 9,880.28

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Solution

The fourth proportional to 17,838.22, 24,617.43 and 9,880.28 is: 13,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.22 : 24,617.43 = 9,880.28 : x
  2. Step 2: Convert to fraction form
    17,838.22/24,617.43 = 9,880.28/x
  3. Step 3: Cross multiply
    17,838.22x = 24,617.43 × 9,880.28
  4. Step 4: Simplify right side
    17,838.22x = 243,226,928.79
  5. Step 5: Solve for x
    x = 243,226,928.79/17,838.22
  6. Step 6: Final answer
    x = 13,635.16

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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.