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Finding the Fourth Proportional to 27,762.53, 38,340.27 and 17,695.71

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Solution

The fourth proportional to 27,762.53, 38,340.27 and 17,695.71 is: 24,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.53 : 38,340.27 = 17,695.71 : x
  2. Step 2: Convert to fraction form
    27,762.53/38,340.27 = 17,695.71/x
  3. Step 3: Cross multiply
    27,762.53x = 38,340.27 × 17,695.71
  4. Step 4: Simplify right side
    27,762.53x = 678,458,299.24
  5. Step 5: Solve for x
    x = 678,458,299.24/27,762.53
  6. Step 6: Final answer
    x = 24,437.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.