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Finding the Fourth Proportional to 18,623.32, 27,929.05 and 6,141.02

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Solution

The fourth proportional to 18,623.32, 27,929.05 and 6,141.02 is: 9,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,623.32 : 27,929.05 = 6,141.02 : x
  2. Step 2: Convert to fraction form
    18,623.32/27,929.05 = 6,141.02/x
  3. Step 3: Cross multiply
    18,623.32x = 27,929.05 × 6,141.02
  4. Step 4: Simplify right side
    18,623.32x = 171,512,699.63
  5. Step 5: Solve for x
    x = 171,512,699.63/18,623.32
  6. Step 6: Final answer
    x = 9,209.57

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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.