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Finding the Fourth Proportional to 17,824.78, 24,603.68 and 10,276.16

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Solution

The fourth proportional to 17,824.78, 24,603.68 and 10,276.16 is: 14,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.78 : 24,603.68 = 10,276.16 : x
  2. Step 2: Convert to fraction form
    17,824.78/24,603.68 = 10,276.16/x
  3. Step 3: Cross multiply
    17,824.78x = 24,603.68 × 10,276.16
  4. Step 4: Simplify right side
    17,824.78x = 252,831,352.27
  5. Step 5: Solve for x
    x = 252,831,352.27/17,824.78
  6. Step 6: Final answer
    x = 14,184.26

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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.