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Finding the Fourth Proportional to 14,503.16, 21,764.46 and 5,269.16

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Solution

The fourth proportional to 14,503.16, 21,764.46 and 5,269.16 is: 7,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.16 : 21,764.46 = 5,269.16 : x
  2. Step 2: Convert to fraction form
    14,503.16/21,764.46 = 5,269.16/x
  3. Step 3: Cross multiply
    14,503.16x = 21,764.46 × 5,269.16
  4. Step 4: Simplify right side
    14,503.16x = 114,680,313.23
  5. Step 5: Solve for x
    x = 114,680,313.23/14,503.16
  6. Step 6: Final answer
    x = 7,907.27

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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.