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Finding the Fourth Proportional to 23,783.76, 32,825.66 and 13,710.40

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Solution

The fourth proportional to 23,783.76, 32,825.66 and 13,710.40 is: 18,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.76 : 32,825.66 = 13,710.40 : x
  2. Step 2: Convert to fraction form
    23,783.76/32,825.66 = 13,710.40/x
  3. Step 3: Cross multiply
    23,783.76x = 32,825.66 × 13,710.40
  4. Step 4: Simplify right side
    23,783.76x = 450,052,778.25
  5. Step 5: Solve for x
    x = 450,052,778.25/23,783.76
  6. Step 6: Final answer
    x = 18,922.69

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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.