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Finding the Fourth Proportional to 18,256.65, 27,385.22 and 6,409.95

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Solution

The fourth proportional to 18,256.65, 27,385.22 and 6,409.95 is: 9,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.65 : 27,385.22 = 6,409.95 : x
  2. Step 2: Convert to fraction form
    18,256.65/27,385.22 = 6,409.95/x
  3. Step 3: Cross multiply
    18,256.65x = 27,385.22 × 6,409.95
  4. Step 4: Simplify right side
    18,256.65x = 175,537,890.94
  5. Step 5: Solve for x
    x = 175,537,890.94/18,256.65
  6. Step 6: Final answer
    x = 9,615.01

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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.