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Finding the Fourth Proportional to 27,792.84, 38,354.12 and 15,217.60

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Solution

The fourth proportional to 27,792.84, 38,354.12 and 15,217.60 is: 21,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.84 : 38,354.12 = 15,217.60 : x
  2. Step 2: Convert to fraction form
    27,792.84/38,354.12 = 15,217.60/x
  3. Step 3: Cross multiply
    27,792.84x = 38,354.12 × 15,217.60
  4. Step 4: Simplify right side
    27,792.84x = 583,657,656.51
  5. Step 5: Solve for x
    x = 583,657,656.51/27,792.84
  6. Step 6: Final answer
    x = 21,000.29

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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.