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Finding the Fourth Proportional to 23,420.29, 32,319.99 and 12,809.92

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Solution

The fourth proportional to 23,420.29, 32,319.99 and 12,809.92 is: 17,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.29 : 32,319.99 = 12,809.92 : x
  2. Step 2: Convert to fraction form
    23,420.29/32,319.99 = 12,809.92/x
  3. Step 3: Cross multiply
    23,420.29x = 32,319.99 × 12,809.92
  4. Step 4: Simplify right side
    23,420.29x = 414,016,486.30
  5. Step 5: Solve for x
    x = 414,016,486.30/23,420.29
  6. Step 6: Final answer
    x = 17,677.68

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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.