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Finding the Fourth Proportional to 27,985.34, 38,619.60 and 15,410

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Solution

The fourth proportional to 27,985.34, 38,619.60 and 15,410 is: 21,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.34 : 38,619.60 = 15,410 : x
  2. Step 2: Convert to fraction form
    27,985.34/38,619.60 = 15,410/x
  3. Step 3: Cross multiply
    27,985.34x = 38,619.60 × 15,410
  4. Step 4: Simplify right side
    27,985.34x = 595,128,036
  5. Step 5: Solve for x
    x = 595,128,036/27,985.34
  6. Step 6: Final answer
    x = 21,265.71

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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.