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Finding the Fourth Proportional to 14,702.50, 22,057.40 and 4,314.25

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Solution

The fourth proportional to 14,702.50, 22,057.40 and 4,314.25 is: 6,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.50 : 22,057.40 = 4,314.25 : x
  2. Step 2: Convert to fraction form
    14,702.50/22,057.40 = 4,314.25/x
  3. Step 3: Cross multiply
    14,702.50x = 22,057.40 × 4,314.25
  4. Step 4: Simplify right side
    14,702.50x = 95,161,137.95
  5. Step 5: Solve for x
    x = 95,161,137.95/14,702.50
  6. Step 6: Final answer
    x = 6,472.45

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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.