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Finding the Fourth Proportional to 27,985.34, 41,968.13 and 8,258.62

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Solution

The fourth proportional to 27,985.34, 41,968.13 and 8,258.62 is: 12,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.34 : 41,968.13 = 8,258.62 : x
  2. Step 2: Convert to fraction form
    27,985.34/41,968.13 = 8,258.62/x
  3. Step 3: Cross multiply
    27,985.34x = 41,968.13 × 8,258.62
  4. Step 4: Simplify right side
    27,985.34x = 346,598,837.78
  5. Step 5: Solve for x
    x = 346,598,837.78/27,985.34
  6. Step 6: Final answer
    x = 12,385.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.