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Finding the Fourth Proportional to 23,805.12, 35,713.08 and 16,412.52

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Solution

The fourth proportional to 23,805.12, 35,713.08 and 16,412.52 is: 24,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.12 : 35,713.08 = 16,412.52 : x
  2. Step 2: Convert to fraction form
    23,805.12/35,713.08 = 16,412.52/x
  3. Step 3: Cross multiply
    23,805.12x = 35,713.08 × 16,412.52
  4. Step 4: Simplify right side
    23,805.12x = 586,141,639.76
  5. Step 5: Solve for x
    x = 586,141,639.76/23,805.12
  6. Step 6: Final answer
    x = 24,622.50

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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.