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Finding the Fourth Proportional to 14,595, 21,895.95 and 4,734.26

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Solution

The fourth proportional to 14,595, 21,895.95 and 4,734.26 is: 7,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595 : 21,895.95 = 4,734.26 : x
  2. Step 2: Convert to fraction form
    14,595/21,895.95 = 4,734.26/x
  3. Step 3: Cross multiply
    14,595x = 21,895.95 × 4,734.26
  4. Step 4: Simplify right side
    14,595x = 103,661,010.77
  5. Step 5: Solve for x
    x = 103,661,010.77/14,595
  6. Step 6: Final answer
    x = 7,102.50

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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.