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Finding the Fourth Proportional to 14,563.53, 21,849.93 and 6,134.49

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Solution

The fourth proportional to 14,563.53, 21,849.93 and 6,134.49 is: 9,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.53 : 21,849.93 = 6,134.49 : x
  2. Step 2: Convert to fraction form
    14,563.53/21,849.93 = 6,134.49/x
  3. Step 3: Cross multiply
    14,563.53x = 21,849.93 × 6,134.49
  4. Step 4: Simplify right side
    14,563.53x = 134,038,177.09
  5. Step 5: Solve for x
    x = 134,038,177.09/14,563.53
  6. Step 6: Final answer
    x = 9,203.69

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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.