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Finding the Fourth Proportional to 23,693.92, 32,697.75 and 13,084

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Solution

The fourth proportional to 23,693.92, 32,697.75 and 13,084 is: 18,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.92 : 32,697.75 = 13,084 : x
  2. Step 2: Convert to fraction form
    23,693.92/32,697.75 = 13,084/x
  3. Step 3: Cross multiply
    23,693.92x = 32,697.75 × 13,084
  4. Step 4: Simplify right side
    23,693.92x = 427,817,361
  5. Step 5: Solve for x
    x = 427,817,361/23,693.92
  6. Step 6: Final answer
    x = 18,056.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.