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Finding the Fourth Proportional to 23,783.20, 32,822 and 13,713.28

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Solution

The fourth proportional to 23,783.20, 32,822 and 13,713.28 is: 18,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.20 : 32,822 = 13,713.28 : x
  2. Step 2: Convert to fraction form
    23,783.20/32,822 = 13,713.28/x
  3. Step 3: Cross multiply
    23,783.20x = 32,822 × 13,713.28
  4. Step 4: Simplify right side
    23,783.20x = 450,097,276.16
  5. Step 5: Solve for x
    x = 450,097,276.16/23,783.20
  6. Step 6: Final answer
    x = 18,925.01

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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.