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Finding the Fourth Proportional to 14,361.29, 21,526.50 and 6,949.40

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Solution

The fourth proportional to 14,361.29, 21,526.50 and 6,949.40 is: 10,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.29 : 21,526.50 = 6,949.40 : x
  2. Step 2: Convert to fraction form
    14,361.29/21,526.50 = 6,949.40/x
  3. Step 3: Cross multiply
    14,361.29x = 21,526.50 × 6,949.40
  4. Step 4: Simplify right side
    14,361.29x = 149,596,151.47
  5. Step 5: Solve for x
    x = 149,596,151.47/14,361.29
  6. Step 6: Final answer
    x = 10,416.63

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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.