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Finding the Fourth Proportional to 14,754.40, 22,135.70 and 6,435.14

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Solution

The fourth proportional to 14,754.40, 22,135.70 and 6,435.14 is: 9,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754.40 : 22,135.70 = 6,435.14 : x
  2. Step 2: Convert to fraction form
    14,754.40/22,135.70 = 6,435.14/x
  3. Step 3: Cross multiply
    14,754.40x = 22,135.70 × 6,435.14
  4. Step 4: Simplify right side
    14,754.40x = 142,446,328.50
  5. Step 5: Solve for x
    x = 142,446,328.50/14,754.40
  6. Step 6: Final answer
    x = 9,654.50

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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.