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Finding the Fourth Proportional to 23,636, 32,617.32 and 13,026.64

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Solution

The fourth proportional to 23,636, 32,617.32 and 13,026.64 is: 17,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,636 : 32,617.32 = 13,026.64 : x
  2. Step 2: Convert to fraction form
    23,636/32,617.32 = 13,026.64/x
  3. Step 3: Cross multiply
    23,636x = 32,617.32 × 13,026.64
  4. Step 4: Simplify right side
    23,636x = 424,894,085.40
  5. Step 5: Solve for x
    x = 424,894,085.40/23,636
  6. Step 6: Final answer
    x = 17,976.56

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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.