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Finding the Fourth Proportional to 17,543.04, 24,198.08 and 10,464

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Solution

The fourth proportional to 17,543.04, 24,198.08 and 10,464 is: 14,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.04 : 24,198.08 = 10,464 : x
  2. Step 2: Convert to fraction form
    17,543.04/24,198.08 = 10,464/x
  3. Step 3: Cross multiply
    17,543.04x = 24,198.08 × 10,464
  4. Step 4: Simplify right side
    17,543.04x = 253,208,709.12
  5. Step 5: Solve for x
    x = 253,208,709.12/17,543.04
  6. Step 6: Final answer
    x = 14,433.57

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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.