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Finding the Fourth Proportional to 27,670.18, 41,505.18 and 16,580.20

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Solution

The fourth proportional to 27,670.18, 41,505.18 and 16,580.20 is: 24,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.18 : 41,505.18 = 16,580.20 : x
  2. Step 2: Convert to fraction form
    27,670.18/41,505.18 = 16,580.20/x
  3. Step 3: Cross multiply
    27,670.18x = 41,505.18 × 16,580.20
  4. Step 4: Simplify right side
    27,670.18x = 688,164,185.44
  5. Step 5: Solve for x
    x = 688,164,185.44/27,670.18
  6. Step 6: Final answer
    x = 24,870.25

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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.