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Finding the Fourth Proportional to 14,656.50, 21,987.54 and 5,892.12

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Solution

The fourth proportional to 14,656.50, 21,987.54 and 5,892.12 is: 8,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.50 : 21,987.54 = 5,892.12 : x
  2. Step 2: Convert to fraction form
    14,656.50/21,987.54 = 5,892.12/x
  3. Step 3: Cross multiply
    14,656.50x = 21,987.54 × 5,892.12
  4. Step 4: Simplify right side
    14,656.50x = 129,553,224.18
  5. Step 5: Solve for x
    x = 129,553,224.18/14,656.50
  6. Step 6: Final answer
    x = 8,839.30

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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.