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Finding the Fourth Proportional to 13,820.52, 20,725.38 and 6,024

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Solution

The fourth proportional to 13,820.52, 20,725.38 and 6,024 is: 9,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.52 : 20,725.38 = 6,024 : x
  2. Step 2: Convert to fraction form
    13,820.52/20,725.38 = 6,024/x
  3. Step 3: Cross multiply
    13,820.52x = 20,725.38 × 6,024
  4. Step 4: Simplify right side
    13,820.52x = 124,849,689.12
  5. Step 5: Solve for x
    x = 124,849,689.12/13,820.52
  6. Step 6: Final answer
    x = 9,033.65

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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.