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Finding the Fourth Proportional to 23,626, 32,603.48 and 13,016.64

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Solution

The fourth proportional to 23,626, 32,603.48 and 13,016.64 is: 17,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626 : 32,603.48 = 13,016.64 : x
  2. Step 2: Convert to fraction form
    23,626/32,603.48 = 13,016.64/x
  3. Step 3: Cross multiply
    23,626x = 32,603.48 × 13,016.64
  4. Step 4: Simplify right side
    23,626x = 424,387,761.91
  5. Step 5: Solve for x
    x = 424,387,761.91/23,626
  6. Step 6: Final answer
    x = 17,962.74

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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.