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Finding the Fourth Proportional to 23,419.84, 32,319.63 and 12,809.25

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Solution

The fourth proportional to 23,419.84, 32,319.63 and 12,809.25 is: 17,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.84 : 32,319.63 = 12,809.25 : x
  2. Step 2: Convert to fraction form
    23,419.84/32,319.63 = 12,809.25/x
  3. Step 3: Cross multiply
    23,419.84x = 32,319.63 × 12,809.25
  4. Step 4: Simplify right side
    23,419.84x = 413,990,220.58
  5. Step 5: Solve for x
    x = 413,990,220.58/23,419.84
  6. Step 6: Final answer
    x = 17,676.90

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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.