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Finding the Fourth Proportional to 23,830.46, 35,732 and 9,029.94

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Solution

The fourth proportional to 23,830.46, 35,732 and 9,029.94 is: 13,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.46 : 35,732 = 9,029.94 : x
  2. Step 2: Convert to fraction form
    23,830.46/35,732 = 9,029.94/x
  3. Step 3: Cross multiply
    23,830.46x = 35,732 × 9,029.94
  4. Step 4: Simplify right side
    23,830.46x = 322,657,816.08
  5. Step 5: Solve for x
    x = 322,657,816.08/23,830.46
  6. Step 6: Final answer
    x = 13,539.72

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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.