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Finding the Fourth Proportional to 17,472, 24,111.90 and 10,020

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Solution

The fourth proportional to 17,472, 24,111.90 and 10,020 is: 13,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472 : 24,111.90 = 10,020 : x
  2. Step 2: Convert to fraction form
    17,472/24,111.90 = 10,020/x
  3. Step 3: Cross multiply
    17,472x = 24,111.90 × 10,020
  4. Step 4: Simplify right side
    17,472x = 241,601,238
  5. Step 5: Solve for x
    x = 241,601,238/17,472
  6. Step 6: Final answer
    x = 13,827.91

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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.