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Finding the Fourth Proportional to 14,361.66, 21,542.49 and 6,565

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Solution

The fourth proportional to 14,361.66, 21,542.49 and 6,565 is: 9,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.66 : 21,542.49 = 6,565 : x
  2. Step 2: Convert to fraction form
    14,361.66/21,542.49 = 6,565/x
  3. Step 3: Cross multiply
    14,361.66x = 21,542.49 × 6,565
  4. Step 4: Simplify right side
    14,361.66x = 141,426,446.85
  5. Step 5: Solve for x
    x = 141,426,446.85/14,361.66
  6. Step 6: Final answer
    x = 9,847.50

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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.