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Finding the Fourth Proportional to 14,050.56, 21,069.67 and 7,475.19

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Solution

The fourth proportional to 14,050.56, 21,069.67 and 7,475.19 is: 11,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050.56 : 21,069.67 = 7,475.19 : x
  2. Step 2: Convert to fraction form
    14,050.56/21,069.67 = 7,475.19/x
  3. Step 3: Cross multiply
    14,050.56x = 21,069.67 × 7,475.19
  4. Step 4: Simplify right side
    14,050.56x = 157,499,702.80
  5. Step 5: Solve for x
    x = 157,499,702.80/14,050.56
  6. Step 6: Final answer
    x = 11,209.49

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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.