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Finding the Fourth Proportional to 13,818.92, 19,073.19 and 8,782.16

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Solution

The fourth proportional to 13,818.92, 19,073.19 and 8,782.16 is: 12,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.92 : 19,073.19 = 8,782.16 : x
  2. Step 2: Convert to fraction form
    13,818.92/19,073.19 = 8,782.16/x
  3. Step 3: Cross multiply
    13,818.92x = 19,073.19 × 8,782.16
  4. Step 4: Simplify right side
    13,818.92x = 167,503,806.29
  5. Step 5: Solve for x
    x = 167,503,806.29/13,818.92
  6. Step 6: Final answer
    x = 12,121.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.