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Finding the Fourth Proportional to 27,272.64, 40,883.04 and 17,384.16

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Solution

The fourth proportional to 27,272.64, 40,883.04 and 17,384.16 is: 26,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272.64 : 40,883.04 = 17,384.16 : x
  2. Step 2: Convert to fraction form
    27,272.64/40,883.04 = 17,384.16/x
  3. Step 3: Cross multiply
    27,272.64x = 40,883.04 × 17,384.16
  4. Step 4: Simplify right side
    27,272.64x = 710,717,308.65
  5. Step 5: Solve for x
    x = 710,717,308.65/27,272.64
  6. Step 6: Final answer
    x = 26,059.72

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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.