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Finding the Fourth Proportional to 19,893.76, 29,820.72 and 9,512.80

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Solution

The fourth proportional to 19,893.76, 29,820.72 and 9,512.80 is: 14,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.76 : 29,820.72 = 9,512.80 : x
  2. Step 2: Convert to fraction form
    19,893.76/29,820.72 = 9,512.80/x
  3. Step 3: Cross multiply
    19,893.76x = 29,820.72 × 9,512.80
  4. Step 4: Simplify right side
    19,893.76x = 283,678,545.22
  5. Step 5: Solve for x
    x = 283,678,545.22/19,893.76
  6. Step 6: Final answer
    x = 14,259.67

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1.5x scale

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.