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Finding the Fourth Proportional to 27,115.23, 40,657.74 and 8,389.95

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Solution

The fourth proportional to 27,115.23, 40,657.74 and 8,389.95 is: 12,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.23 : 40,657.74 = 8,389.95 : x
  2. Step 2: Convert to fraction form
    27,115.23/40,657.74 = 8,389.95/x
  3. Step 3: Cross multiply
    27,115.23x = 40,657.74 × 8,389.95
  4. Step 4: Simplify right side
    27,115.23x = 341,116,405.71
  5. Step 5: Solve for x
    x = 341,116,405.71/27,115.23
  6. Step 6: Final answer
    x = 12,580.25

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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.