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Finding the Fourth Proportional to 19,657.94, 29,496.35 and 12,260.50

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Solution

The fourth proportional to 19,657.94, 29,496.35 and 12,260.50 is: 18,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.94 : 29,496.35 = 12,260.50 : x
  2. Step 2: Convert to fraction form
    19,657.94/29,496.35 = 12,260.50/x
  3. Step 3: Cross multiply
    19,657.94x = 29,496.35 × 12,260.50
  4. Step 4: Simplify right side
    19,657.94x = 361,639,999.18
  5. Step 5: Solve for x
    x = 361,639,999.18/19,657.94
  6. Step 6: Final answer
    x = 18,396.64

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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.