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Finding the Fourth Proportional to 27,164.64, 40,720.80 and 14,844

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Solution

The fourth proportional to 27,164.64, 40,720.80 and 14,844 is: 22,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.64 : 40,720.80 = 14,844 : x
  2. Step 2: Convert to fraction form
    27,164.64/40,720.80 = 14,844/x
  3. Step 3: Cross multiply
    27,164.64x = 40,720.80 × 14,844
  4. Step 4: Simplify right side
    27,164.64x = 604,459,555.20
  5. Step 5: Solve for x
    x = 604,459,555.20/27,164.64
  6. Step 6: Final answer
    x = 22,251.70

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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.