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Finding the Fourth Proportional to 19,874.68, 29,818.26 and 8,193.40

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Solution

The fourth proportional to 19,874.68, 29,818.26 and 8,193.40 is: 12,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.68 : 29,818.26 = 8,193.40 : x
  2. Step 2: Convert to fraction form
    19,874.68/29,818.26 = 8,193.40/x
  3. Step 3: Cross multiply
    19,874.68x = 29,818.26 × 8,193.40
  4. Step 4: Simplify right side
    19,874.68x = 244,312,931.48
  5. Step 5: Solve for x
    x = 244,312,931.48/19,874.68
  6. Step 6: Final answer
    x = 12,292.67

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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.