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Finding the Fourth Proportional to 19,480.50, 29,196 and 12,457.80

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Solution

The fourth proportional to 19,480.50, 29,196 and 12,457.80 is: 18,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480.50 : 29,196 = 12,457.80 : x
  2. Step 2: Convert to fraction form
    19,480.50/29,196 = 12,457.80/x
  3. Step 3: Cross multiply
    19,480.50x = 29,196 × 12,457.80
  4. Step 4: Simplify right side
    19,480.50x = 363,717,928.80
  5. Step 5: Solve for x
    x = 363,717,928.80/19,480.50
  6. Step 6: Final answer
    x = 18,670.87

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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.