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Finding the Fourth Proportional to 13,001.12, 17,941.92 and 7,412

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Solution

The fourth proportional to 13,001.12, 17,941.92 and 7,412 is: 10,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.12 : 17,941.92 = 7,412 : x
  2. Step 2: Convert to fraction form
    13,001.12/17,941.92 = 7,412/x
  3. Step 3: Cross multiply
    13,001.12x = 17,941.92 × 7,412
  4. Step 4: Simplify right side
    13,001.12x = 132,985,511.04
  5. Step 5: Solve for x
    x = 132,985,511.04/13,001.12
  6. Step 6: Final answer
    x = 10,228.77

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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.