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Finding the Fourth Proportional to 27,457.64, 41,180.16 and 16,367.48

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Solution

The fourth proportional to 27,457.64, 41,180.16 and 16,367.48 is: 24,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.64 : 41,180.16 = 16,367.48 : x
  2. Step 2: Convert to fraction form
    27,457.64/41,180.16 = 16,367.48/x
  3. Step 3: Cross multiply
    27,457.64x = 41,180.16 × 16,367.48
  4. Step 4: Simplify right side
    27,457.64x = 674,015,445.20
  5. Step 5: Solve for x
    x = 674,015,445.20/27,457.64
  6. Step 6: Final answer
    x = 24,547.46

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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.