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Finding the Fourth Proportional to 23,392.92, 32,282.10 and 12,782.28

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Solution

The fourth proportional to 23,392.92, 32,282.10 and 12,782.28 is: 17,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.92 : 32,282.10 = 12,782.28 : x
  2. Step 2: Convert to fraction form
    23,392.92/32,282.10 = 12,782.28/x
  3. Step 3: Cross multiply
    23,392.92x = 32,282.10 × 12,782.28
  4. Step 4: Simplify right side
    23,392.92x = 412,638,841.19
  5. Step 5: Solve for x
    x = 412,638,841.19/23,392.92
  6. Step 6: Final answer
    x = 17,639.48

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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.