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Finding the Fourth Proportional to 13,017, 17,966.70 and 7,431.24

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Solution

The fourth proportional to 13,017, 17,966.70 and 7,431.24 is: 10,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017 : 17,966.70 = 7,431.24 : x
  2. Step 2: Convert to fraction form
    13,017/17,966.70 = 7,431.24/x
  3. Step 3: Cross multiply
    13,017x = 17,966.70 × 7,431.24
  4. Step 4: Simplify right side
    13,017x = 133,514,859.71
  5. Step 5: Solve for x
    x = 133,514,859.71/13,017
  6. Step 6: Final answer
    x = 10,256.96

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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.