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Finding the Fourth Proportional to 27,392.84, 37,802.10 and 14,817.60

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Solution

The fourth proportional to 27,392.84, 37,802.10 and 14,817.60 is: 20,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392.84 : 37,802.10 = 14,817.60 : x
  2. Step 2: Convert to fraction form
    27,392.84/37,802.10 = 14,817.60/x
  3. Step 3: Cross multiply
    27,392.84x = 37,802.10 × 14,817.60
  4. Step 4: Simplify right side
    27,392.84x = 560,136,396.96
  5. Step 5: Solve for x
    x = 560,136,396.96/27,392.84
  6. Step 6: Final answer
    x = 20,448.28

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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.