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Finding the Fourth Proportional to 27,788.60, 38,353.11 and 16,464.47

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Solution

The fourth proportional to 27,788.60, 38,353.11 and 16,464.47 is: 22,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.60 : 38,353.11 = 16,464.47 : x
  2. Step 2: Convert to fraction form
    27,788.60/38,353.11 = 16,464.47/x
  3. Step 3: Cross multiply
    27,788.60x = 38,353.11 × 16,464.47
  4. Step 4: Simplify right side
    27,788.60x = 631,463,533.12
  5. Step 5: Solve for x
    x = 631,463,533.12/27,788.60
  6. Step 6: Final answer
    x = 22,723.84

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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.