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Finding the Fourth Proportional to 27,166.64, 40,723.80 and 14,846

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Solution

The fourth proportional to 27,166.64, 40,723.80 and 14,846 is: 22,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166.64 : 40,723.80 = 14,846 : x
  2. Step 2: Convert to fraction form
    27,166.64/40,723.80 = 14,846/x
  3. Step 3: Cross multiply
    27,166.64x = 40,723.80 × 14,846
  4. Step 4: Simplify right side
    27,166.64x = 604,585,534.80
  5. Step 5: Solve for x
    x = 604,585,534.80/27,166.64
  6. Step 6: Final answer
    x = 22,254.70

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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.