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Finding the Fourth Proportional to 14,129.54, 21,171.27 and 7,194.50

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Solution

The fourth proportional to 14,129.54, 21,171.27 and 7,194.50 is: 10,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.54 : 21,171.27 = 7,194.50 : x
  2. Step 2: Convert to fraction form
    14,129.54/21,171.27 = 7,194.50/x
  3. Step 3: Cross multiply
    14,129.54x = 21,171.27 × 7,194.50
  4. Step 4: Simplify right side
    14,129.54x = 152,316,702.02
  5. Step 5: Solve for x
    x = 152,316,702.02/14,129.54
  6. Step 6: Final answer
    x = 10,780.02

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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.