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Finding the Fourth Proportional to 23,089.82, 31,863.58 and 13,018.28

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Solution

The fourth proportional to 23,089.82, 31,863.58 and 13,018.28 is: 17,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.82 : 31,863.58 = 13,018.28 : x
  2. Step 2: Convert to fraction form
    23,089.82/31,863.58 = 13,018.28/x
  3. Step 3: Cross multiply
    23,089.82x = 31,863.58 × 13,018.28
  4. Step 4: Simplify right side
    23,089.82x = 414,808,814.38
  5. Step 5: Solve for x
    x = 414,808,814.38/23,089.82
  6. Step 6: Final answer
    x = 17,965.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.