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Finding the Fourth Proportional to 14,782.50, 22,177.53 and 4,394.25

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Solution

The fourth proportional to 14,782.50, 22,177.53 and 4,394.25 is: 6,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.50 : 22,177.53 = 4,394.25 : x
  2. Step 2: Convert to fraction form
    14,782.50/22,177.53 = 4,394.25/x
  3. Step 3: Cross multiply
    14,782.50x = 22,177.53 × 4,394.25
  4. Step 4: Simplify right side
    14,782.50x = 97,453,611.20
  5. Step 5: Solve for x
    x = 97,453,611.20/14,782.50
  6. Step 6: Final answer
    x = 6,592.50

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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.