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Finding the Fourth Proportional to 17,044.12, 23,520.64 and 9,875

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Solution

The fourth proportional to 17,044.12, 23,520.64 and 9,875 is: 13,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.12 : 23,520.64 = 9,875 : x
  2. Step 2: Convert to fraction form
    17,044.12/23,520.64 = 9,875/x
  3. Step 3: Cross multiply
    17,044.12x = 23,520.64 × 9,875
  4. Step 4: Simplify right side
    17,044.12x = 232,266,320
  5. Step 5: Solve for x
    x = 232,266,320/17,044.12
  6. Step 6: Final answer
    x = 13,627.36

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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.