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Finding the Fourth Proportional to 27,582, 41,381.16 and 15,903.60

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Solution

The fourth proportional to 27,582, 41,381.16 and 15,903.60 is: 23,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582 : 41,381.16 = 15,903.60 : x
  2. Step 2: Convert to fraction form
    27,582/41,381.16 = 15,903.60/x
  3. Step 3: Cross multiply
    27,582x = 41,381.16 × 15,903.60
  4. Step 4: Simplify right side
    27,582x = 658,109,416.18
  5. Step 5: Solve for x
    x = 658,109,416.18/27,582
  6. Step 6: Final answer
    x = 23,860.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.