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Finding the Fourth Proportional to 27,970.68, 38,599.56 and 15,223.80

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Solution

The fourth proportional to 27,970.68, 38,599.56 and 15,223.80 is: 21,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.68 : 38,599.56 = 15,223.80 : x
  2. Step 2: Convert to fraction form
    27,970.68/38,599.56 = 15,223.80/x
  3. Step 3: Cross multiply
    27,970.68x = 38,599.56 × 15,223.80
  4. Step 4: Simplify right side
    27,970.68x = 587,631,981.53
  5. Step 5: Solve for x
    x = 587,631,981.53/27,970.68
  6. Step 6: Final answer
    x = 21,008.86

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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.