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Finding the Fourth Proportional to 23,242.60, 32,072.34 and 13,809.88

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Solution

The fourth proportional to 23,242.60, 32,072.34 and 13,809.88 is: 19,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.60 : 32,072.34 = 13,809.88 : x
  2. Step 2: Convert to fraction form
    23,242.60/32,072.34 = 13,809.88/x
  3. Step 3: Cross multiply
    23,242.60x = 32,072.34 × 13,809.88
  4. Step 4: Simplify right side
    23,242.60x = 442,915,166.72
  5. Step 5: Solve for x
    x = 442,915,166.72/23,242.60
  6. Step 6: Final answer
    x = 19,056.18

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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.