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Finding the Fourth Proportional to 23,453.77, 32,365.96 and 12,842.77

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Solution

The fourth proportional to 23,453.77, 32,365.96 and 12,842.77 is: 17,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.77 : 32,365.96 = 12,842.77 : x
  2. Step 2: Convert to fraction form
    23,453.77/32,365.96 = 12,842.77/x
  3. Step 3: Cross multiply
    23,453.77x = 32,365.96 × 12,842.77
  4. Step 4: Simplify right side
    23,453.77x = 415,668,580.11
  5. Step 5: Solve for x
    x = 415,668,580.11/23,453.77
  6. Step 6: Final answer
    x = 17,722.89

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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.