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Finding the Fourth Proportional to 18,384.96, 27,564 and 5,897.88

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Solution

The fourth proportional to 18,384.96, 27,564 and 5,897.88 is: 8,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.96 : 27,564 = 5,897.88 : x
  2. Step 2: Convert to fraction form
    18,384.96/27,564 = 5,897.88/x
  3. Step 3: Cross multiply
    18,384.96x = 27,564 × 5,897.88
  4. Step 4: Simplify right side
    18,384.96x = 162,569,164.32
  5. Step 5: Solve for x
    x = 162,569,164.32/18,384.96
  6. Step 6: Final answer
    x = 8,842.51

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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.