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Finding the Fourth Proportional to 23,451.50, 35,185.89 and 12,357.74

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Solution

The fourth proportional to 23,451.50, 35,185.89 and 12,357.74 is: 18,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.50 : 35,185.89 = 12,357.74 : x
  2. Step 2: Convert to fraction form
    23,451.50/35,185.89 = 12,357.74/x
  3. Step 3: Cross multiply
    23,451.50x = 35,185.89 × 12,357.74
  4. Step 4: Simplify right side
    23,451.50x = 434,818,080.29
  5. Step 5: Solve for x
    x = 434,818,080.29/23,451.50
  6. Step 6: Final answer
    x = 18,541.16

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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.