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Finding the Fourth Proportional to 17,051.81, 23,531.54 and 9,883.11

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Solution

The fourth proportional to 17,051.81, 23,531.54 and 9,883.11 is: 13,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.81 : 23,531.54 = 9,883.11 : x
  2. Step 2: Convert to fraction form
    17,051.81/23,531.54 = 9,883.11/x
  3. Step 3: Cross multiply
    17,051.81x = 23,531.54 × 9,883.11
  4. Step 4: Simplify right side
    17,051.81x = 232,564,857.12
  5. Step 5: Solve for x
    x = 232,564,857.12/17,051.81
  6. Step 6: Final answer
    x = 13,638.72

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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.