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Finding the Fourth Proportional to 14,564.53, 21,851.43 and 6,135.49

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Solution

The fourth proportional to 14,564.53, 21,851.43 and 6,135.49 is: 9,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.53 : 21,851.43 = 6,135.49 : x
  2. Step 2: Convert to fraction form
    14,564.53/21,851.43 = 6,135.49/x
  3. Step 3: Cross multiply
    14,564.53x = 21,851.43 × 6,135.49
  4. Step 4: Simplify right side
    14,564.53x = 134,069,230.25
  5. Step 5: Solve for x
    x = 134,069,230.25/14,564.53
  6. Step 6: Final answer
    x = 9,205.19

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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.