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Finding the Fourth Proportional to 17,548.63, 24,213.76 and 10,475.71

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Solution

The fourth proportional to 17,548.63, 24,213.76 and 10,475.71 is: 14,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.63 : 24,213.76 = 10,475.71 : x
  2. Step 2: Convert to fraction form
    17,548.63/24,213.76 = 10,475.71/x
  3. Step 3: Cross multiply
    17,548.63x = 24,213.76 × 10,475.71
  4. Step 4: Simplify right side
    17,548.63x = 253,656,327.77
  5. Step 5: Solve for x
    x = 253,656,327.77/17,548.63
  6. Step 6: Final answer
    x = 14,454.48

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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.