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Finding the Fourth Proportional to 27,007.71, 40,457.30 and 13,458.00

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Solution

The fourth proportional to 27,007.71, 40,457.30 and 13,458.00 is: 20,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.71 : 40,457.30 = 13,458.00 : x
  2. Step 2: Convert to fraction form
    27,007.71/40,457.30 = 13,458.00/x
  3. Step 3: Cross multiply
    27,007.71x = 40,457.30 × 13,458.00
  4. Step 4: Simplify right side
    27,007.71x = 544,474,427.82
  5. Step 5: Solve for x
    x = 544,474,427.82/27,007.71
  6. Step 6: Final answer
    x = 20,159.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.