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Finding the Fourth Proportional to 21,829.60, 32,670.78 and 18,287.20

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Solution

The fourth proportional to 21,829.60, 32,670.78 and 18,287.20 is: 27,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.60 : 32,670.78 = 18,287.20 : x
  2. Step 2: Convert to fraction form
    21,829.60/32,670.78 = 18,287.20/x
  3. Step 3: Cross multiply
    21,829.60x = 32,670.78 × 18,287.20
  4. Step 4: Simplify right side
    21,829.60x = 597,457,088.02
  5. Step 5: Solve for x
    x = 597,457,088.02/21,829.60
  6. Step 6: Final answer
    x = 27,369.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.