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Finding the Fourth Proportional to 13,964, 20,949.78 and 4,730

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Solution

The fourth proportional to 13,964, 20,949.78 and 4,730 is: 7,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964 : 20,949.78 = 4,730 : x
  2. Step 2: Convert to fraction form
    13,964/20,949.78 = 4,730/x
  3. Step 3: Cross multiply
    13,964x = 20,949.78 × 4,730
  4. Step 4: Simplify right side
    13,964x = 99,092,459.40
  5. Step 5: Solve for x
    x = 99,092,459.40/13,964
  6. Step 6: Final answer
    x = 7,096.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.