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Finding the Fourth Proportional to 14,920.83, 20,587.02 and 9,609.26

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Solution

The fourth proportional to 14,920.83, 20,587.02 and 9,609.26 is: 13,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.83 : 20,587.02 = 9,609.26 : x
  2. Step 2: Convert to fraction form
    14,920.83/20,587.02 = 9,609.26/x
  3. Step 3: Cross multiply
    14,920.83x = 20,587.02 × 9,609.26
  4. Step 4: Simplify right side
    14,920.83x = 197,826,014.30
  5. Step 5: Solve for x
    x = 197,826,014.30/14,920.83
  6. Step 6: Final answer
    x = 13,258.38

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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.