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Finding the Fourth Proportional to 13,001.23, 17,941.71 and 7,032.88

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Solution

The fourth proportional to 13,001.23, 17,941.71 and 7,032.88 is: 9,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.23 : 17,941.71 = 7,032.88 : x
  2. Step 2: Convert to fraction form
    13,001.23/17,941.71 = 7,032.88/x
  3. Step 3: Cross multiply
    13,001.23x = 17,941.71 × 7,032.88
  4. Step 4: Simplify right side
    13,001.23x = 126,181,893.42
  5. Step 5: Solve for x
    x = 126,181,893.42/13,001.23
  6. Step 6: Final answer
    x = 9,705.38

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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.