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Finding the Fourth Proportional to 27,397.84, 37,809 and 14,822.60

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Solution

The fourth proportional to 27,397.84, 37,809 and 14,822.60 is: 20,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.84 : 37,809 = 14,822.60 : x
  2. Step 2: Convert to fraction form
    27,397.84/37,809 = 14,822.60/x
  3. Step 3: Cross multiply
    27,397.84x = 37,809 × 14,822.60
  4. Step 4: Simplify right side
    27,397.84x = 560,427,683.40
  5. Step 5: Solve for x
    x = 560,427,683.40/27,397.84
  6. Step 6: Final answer
    x = 20,455.18

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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.