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Finding the Fourth Proportional to 14,705.25, 22,057.88 and 4,317

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Solution

The fourth proportional to 14,705.25, 22,057.88 and 4,317 is: 6,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.25 : 22,057.88 = 4,317 : x
  2. Step 2: Convert to fraction form
    14,705.25/22,057.88 = 4,317/x
  3. Step 3: Cross multiply
    14,705.25x = 22,057.88 × 4,317
  4. Step 4: Simplify right side
    14,705.25x = 95,223,846.38
  5. Step 5: Solve for x
    x = 95,223,846.38/14,705.25
  6. Step 6: Final answer
    x = 6,475.50

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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.