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Finding the Fourth Proportional to 14,335.50, 21,504.06 and 5,101.50

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Solution

The fourth proportional to 14,335.50, 21,504.06 and 5,101.50 is: 7,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.50 : 21,504.06 = 5,101.50 : x
  2. Step 2: Convert to fraction form
    14,335.50/21,504.06 = 5,101.50/x
  3. Step 3: Cross multiply
    14,335.50x = 21,504.06 × 5,101.50
  4. Step 4: Simplify right side
    14,335.50x = 109,702,962.09
  5. Step 5: Solve for x
    x = 109,702,962.09/14,335.50
  6. Step 6: Final answer
    x = 7,652.54

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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.